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Extended Conformable K-Hypergeometric Function and Its Application Adv. Math. Phys. (IF 1.2) Pub Date : 2024-3-13 Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mechanics, and astronomy. The main objectives of this paper are to introduce the extended conformable k-hypergeometric
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Approximate Analytical Solution of the Influences of Magnetic Field and Chemical Reaction on Unsteady Convective Heat and Mass Transfer of Air, Water, and Electrolyte Fluids Subject to Newtonian Heating in a Porous Medium Adv. Math. Phys. (IF 1.2) Pub Date : 2024-1-30 M. Sulemana, Y. I. Seini, O. D. Makinde
This paper addresses the unsteady hydrodynamic convective heat and mass transfer of three fluids namely air, water, and electrolyte solution past an impulsively started vertical surface with Newtonian heating in a porous medium under the influences of magnetic field and chemical reaction. Suitable dimensionless parameters are used to transform the flow equations and the approximate analytic method
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Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion Adv. Math. Phys. (IF 1.2) Pub Date : 2024-1-22 Adnan Ahmad, M. Nazar, M. Ahmad, Sayed M. Eldin, Zaib Un Nisa, Hassan Waqas, M. Imran
Thermal diffusion is a phenomenon where the concentration gradient or diffusive flux is created due to the temperature gradient. Thermal diffusion is induced because of the higher temperature and uneven distribution of the mixture. Formally, thermal diffusion is called the Soret effect, and it is a crucial factor in a number of natural occurrences like the separation of isotopes technique of purification
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Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet Adv. Math. Phys. (IF 1.2) Pub Date : 2024-1-10 Farah Nadzirah Jamrus, Anuar Ishak, Iskandar Waini, Umair Khan, Md Irfanul Haque Siddiqui, J. K. Madhukesh
This study is carried out to scrutinize the Hiemenz flow for ternary hybrid nanofluid flow across a stretching/shrinking sheet. This study aims to inspect the impacts of variations in the stretching/shrinking parameter and the volume fraction of nanoparticles on key aspects of the ternary hybrid nanofluid flow, specifically the skin friction, Nusselt number (which relates to heat transfer), velocity
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Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-29 Yin Zhang, Menglong Zhang, Jianwu Xiong, Gang Mao, Yicong Qi
Natural convection in cavity plays a significant role in energy-related field, including the indoor heat transfer analysis in greenhouse with integrated PV roof. In this study, mathematical model is established for two-dimensional heat transfer analysis in greenhouse air cavity, with numerical simulation through computational fluid dynamics (CFD). Main natural convection impact factors, such as system
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Double-Periodic Soliton Solutions of the (2+1)-Dimensional Ito Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-28 Wen-Hui Zhu, Jian-Guo Liu, Mohammad Asif Arefin, M. Hafiz Uddin, Ya-Kui Wu
In this work, a (2 + 1)-dimensional Ito equation is investigated, which represents the generalization of the bilinear KdV equation. Abundant double-periodic soliton solutions to the (2 + 1)-dimensional Ito equation are presented by the Hirota bilinear form and a mixture of exponentials and trigonometric functions. The dynamic properties are described through some 3D graphics and contour graphics.
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Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-22 Mashiyat Khan, Amzad Hossain, Afroja Parvin, Md. Mamun Molla
A numerical analysis of magnetohydrodynamic natural convection along a thin vertical cylinder with a sinusoidal heat flux at the wall immersed in copper (Cu) and aluminum-oxide (Al2O3) hybrid nanofluids has been studied. A 2D vertical thin cylinder shape geometry has been considered with a radius of R. The fluid flow is considered laminar and incompressible with the Prandtl number of Pr = 6.2 and 10%
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Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-19 Yani Zhang, Junlin Li, Di Liu, Xiufeng Xie
In this section, the dynamic propagation behavior of a penny-shaped interface crack in piezoelectric bimaterials is analyzed. The objective of this paper is to use the boundary conditions of the penny-shaped interface crack to study the dynamic propagation of the crack under the action of load, so as to provide some valuable implications for the fracture mechanics of the piezoelectric bimaterials and
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Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-12 Haifa Bin Jebreen
The focus of this paper is on utilizing the spectral element method to find the numerical solution of the fractional Klein–Gordon equation. The algorithm employs interpolating scaling functions (ISFs) that meet specific properties and satisfy the multiresolution analysis. Using an orthonormal projection, the equation is mapped to the scaling spaces in this method. A matrix representation of the Caputo
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Free Convection Heat Transfer in Composite Enclosures with Porous and Nanofluid Layers Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-11 Abeer Alhashash
This work conducts a numerical investigation of convection heat transfer within two composite enclosures. These enclosures consist of porous and nanofluidic layers, where the porous layers are saturated with the same nanofluid. The first enclosure has two porous layers of different sizes and permeabilities, while the second is separated by a single porous layer. As the porous layer thickness approaches
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QMU Analysis of Flexoelectric Timoshenko Beam by Evidence Theory Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-2 Feng Zhang, Jiajia Zhang, Weiyue Wang, Ruijie Du, Cheng Han, Zijie Qiao
In recent years, with the rapid development of nanotechnology, a new type of electromechanical coupling effect similar to the piezoelectric effect, the flexoelectric effect, has gradually come into the public’s view. The flexoelectric beam that is the main structural unit of the flexoelectric signal output has broad application prospects in the next generation of micro- and nanoelectromechanical systems
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Effects of Soret and Dufour on Unsteady Magneto-Convective Transport through a Vertical Perforated Sheet with Chemical Reaction Adv. Math. Phys. (IF 1.2) Pub Date : 2023-12-2 Md. Mosharrof Hossain, Md. Hasanuzzaman, A. Rahim Laskar, Ashish Barmon
An investigation of the effects of Soret and Dufour on an unsteady MHD convective transmission over a vertical porous sheet with chemical reaction was introduced throughout this study. The model that formed nonlinear governing equations is transformed by applying the similarity analysis with the help of the finite difference method. The numerical resolutions of the fluid characteristics like velocity
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The Modulation Instability Analysis and Analytical Solutions of the Nonlinear Gross−Pitaevskii Model with Conformable Operator and Riemann Wave Equations via Recently Developed Scheme Adv. Math. Phys. (IF 1.2) Pub Date : 2023-11-28 Wei Gao, Haci Mehmet Baskonus
In this manuscript, we focus on the application of recently developed analytical scheme, namely, the rational sine-Gordon expansion method (SGEM). Some new exact solutions of Riemann wave system and the nonlinear Gross−Pitaevskii equation (GPE) by using this method are extracted. This method is based on the general properties of the SGEM which uses the fundamental properties of trigonometric functions
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Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect Adv. Math. Phys. (IF 1.2) Pub Date : 2023-11-25 Hang Zhang, Yujuan Jiao, Jinmiao Yang
In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method. Second, applying super-sub solution method we establish the existence of semitraveling wave solutions with the minimal speed explicitly defined. Moreover, using the method of Lyapunov
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Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-11-24 Nebi Yılmaz, Erhan Pişkin, Ercan Çelik
In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo–Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents and . Finally, we prove a finite-time blow-up result for negative initial energy.
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Flow Dynamics of Eyring–Powell Nanofluid on Porous Stretching Cylinder under Magnetic Field and Viscous Dissipation Effects Adv. Math. Phys. (IF 1.2) Pub Date : 2023-11-22 Ebba Hindebu Rikitu
The current paper scrutinized the flow dynamics of Eyring–Powell nanofluid on porous stretching cylinder under the effects of magnetic field and viscous dissipation by employing Cattaneo–Christov theory. In order to study impacts of thermophoretic force and Brownian motion, the two-phase (Buongiorno) model is considered. As a consequence, very nonlinear PDEs that govern flow problem were formulated
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Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement Adv. Math. Phys. (IF 1.2) Pub Date : 2023-10-31 Min Gong, Hui Jian
This article is concerned with the initial-value problem of a Schrödinger–Hartree equation in the presence of anisotropic partial/whole harmonic confinement. First, we get a sharp threshold for global existence and finite time blow-up on the ground state mass in the -critical case. Then, some new cross-invariant manifolds and variational problems are constructed to study blow-up versus global well-posedness
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Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-10-30 Linrui Li, Mingli Hong, Lin Zheng
In this paper, we survey some non-blow-up results for the following generalized modified inviscid surface quasigeostrophic equation (GSQG) . This is a generalized surface quasigeostrophic equation (GSQG) with the velocity field related to the scalar by , where . We prove that there is no finite-time singularity if the level set of generalized quasigeostrophic equation does not have a hyperbolic saddle
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Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-10-16 Sheng Zhang, Feng Zhu, Bo Xu
The Darboux transformation (DT) and generalized DT (GDT) have played important roles in constructing multisoliton solutions, rogue wave solutions, and semirational solutions of integrable systems. The main purpose of this article is to extend the DT and GDT to a conformable fractional two-component generalized Hirota (TCGH) equation for revealing novel dynamic characteristics of fractional soliton
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Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma Adv. Math. Phys. (IF 1.2) Pub Date : 2023-10-5 Mst. Razia Pervin, Harun-Or Roshid, Pinakee Dey, Shewli Shamim Shanta, Sachin Kumar
In this exploration, we reflect on the wave transmission of three-dimensional (3D) nonlinear electron–positron magnetized plasma, counting both hot as well as cold ion. Treated equation acquiesces to nonlinear-modified KdV-Zakharov–Kuznetsov (mKdV-ZK) dynamical 3D form. The model is integrated by the -model expansion scheme and invented few families of ion acoustic solitonic propagation results in
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A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method Adv. Math. Phys. (IF 1.2) Pub Date : 2023-9-11 Hamzeh Zureigat, Mohammad A. Tashtoush, Ali F. Al Jassar, Emad A. Az-Zo’bi, Mohammad W. Alomari
Complex fuzzy sets (CFSs) have recently emerged as a potent tool for expanding the scope of fuzzy sets to encompass wider ranges within the unit disk in the complex plane. This study explores complex fuzzy numbers and introduces their application for the first time in the literature to address a complex fuzzy partial differential equation that involves a complex fuzzy heat equation under Hukuhara differentiability
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Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-29 Ramin Najafi, Ercan Çelik, Neslihan Uyanık
In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with time-fractional derivatives and some technical computations, new infinitesimal generators
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Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-26 S. Akhlaghi, M. Tavassoli Kajani, M. Allame
This paper uses Müntz orthogonal functions to numerically solve the fractional Bagley–Torvik equation with initial and boundary conditions. Müntz orthogonal functions are defined on the interval and have simple and distinct real roots on this interval. For the function , we obtain the best unique approximation using Müntz orthogonal functions. We obtain the Riemann–Liouville fractional integral operator
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Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-18 Chunli Zhang, Xu Tian, Yangjie Gao, Fucai Qian
In this paper, the longitudinal model of an uncertain aircraft is taken as the research object, and the aircraft path inclination is controlled by controlling the input rudder deflection angle. An adaptive iterative learning control (AILC) scheme is proposed to solve the accurate tracking control problem of the flight path inclination on a finite time interval. The aircraft track angle system is abstractly
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High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-16 Hongling Xie
There are some previous works on designing efficient and high-order numerical methods of density estimation for stochastic partial differential equation (SPDE) driven by multivariate Gaussian random variables. They mostly focus on proposing numerical methods of density estimation for SPDE with independent random variables and rarely research density estimation for SPDE is driven by multivariate Gaussian
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Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-14 Aftab Hussain, Umar Ishtiaq, Hamed Al Sulami
In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non-Archimedean fuzzy strong controlled quasi-metric space. Furthermore, we use our main result
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An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element Adv. Math. Phys. (IF 1.2) Pub Date : 2023-8-5 Wenbo Xu, Qunli Xia, Hitesh Mohapatra, Sangay Chedup
Neutrosophic logic is frequently applied to the engineering technology, scientific administration, and financial matters, among other fields. In addition, neutrosophic linear systems can be used to illustrate various practical problems. Due to the complexity of neutrosophic operators, however, solving linear neutrosophic systems is challenging. This work proposes a new straightforward method for solving
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Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes Adv. Math. Phys. (IF 1.2) Pub Date : 2023-7-18 Sharmin Akter, M. D. Hossain, M. F. Uddin, M. G. Hafez
This article deals with the basic features of collisional radial displacements in a prestressed thin elastic tube filled having inviscid fluid with the presence of nonlocal operator. By implementing the extended Poincare–Lighthill–Kuo method and a variational approach, the new two-sided beta time fractional Korteweg-de-Vries (BTF-KdV) equations are derived based on the concept of beta fractional derivative
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On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products Adv. Math. Phys. (IF 1.2) Pub Date : 2023-6-23 Ning Zhang, Zhangsheng Zhu
We study constant mean curvature hypersurfaces constructed over the fiber of warped products . In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces by applying a parabolicity criterion. As an application, we get some Bernstein type theorems.
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Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions Adv. Math. Phys. (IF 1.2) Pub Date : 2023-6-6 M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo
In the present work, a new approximated method for solving the nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. The approximate solution of this equation is introduced with two separate techniques. First, we convert nonlinear D-VdP equation to a nonlinear Volterra integral equation of the second kind (VIESK) using integration, and then, we approximate it with the hybrid Legendre
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Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-24 Yinghui He
In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed; the lump soliton solution, lump-kink soliton solution, and periodic lump solution are obtained. Furthermore, the dynamic properties of the obtained solutions
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A Study on Regular Domination in Vague Graphs with Application Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-20 Xiaolong Shi, Maryam Akhoundi, A. A. Talebi, Masome Mojahedfar
Vague graphs (VGs), which are a family of fuzzy graphs (FGs), are a well-organized and useful tool for capturing and resolving a range of real-world scenarios involving ambiguous data. In graph theory, a dominating set (DS) for a graph is a subset of the vertices such that every vertex not in is adjacent to at least one member of . The concept of DS in FGs has received the attention of many researchers
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On the Characterization of Antineutrosophic Subgroup Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-17 Sudipta Gayen, S. A. Edalatpanah, Sripati Jha, Ranjan Kumar
This article gives some essential scopes to study the characterizations of the antineutrosophic subgroup and antineutrosophic normal subgroup. Again, several theories and properties have been mentioned which are essential for analyzing their mathematical framework. Moreover, their homomorphic properties have been discussed.
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Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-11 Chimdessa Gashu, Ebisa Mosisa, Chali Idosa
In this paper, we report the effect of classical and quantum superposition of atomic states on quantum correlations. Coupled photon pairs generated in a ladder quantum beat laser using coherent-induced classical field and atomic state coherent superposition are considered. Once the quantum coherence get sufficient time, it can generate quantum correlations that include quantum discord, quantum entanglement
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Position Vectors of the Natural Mate and Conjugate of a Space Curve Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-8 Azeb Alghanemi, Meraj Ali Khan
The concept of the natural mate and the conjugate curves associated to a smooth curve in Euclidian 3-space were introduced initially by Dashmukh and others. In this paper, we give some extra results that add more properties of the natural mate and the conjugate curves associated with a smooth space curve in . The position vectors of the natural mate and the conjugate of a given smooth curve are investigated
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The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-4 Benedict Barnes, Martin Anokye, Mohammed Muniru Iddrisu, Bismark Gawu, Emmanuel Afrifa
This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of immunity by recovered individuals. The analytic solutions, which are given as series solutions, are derived using the fractional power series method
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Research on Model Construction of Electric Energy Metering System Based on Intelligent Sensor Data Adv. Math. Phys. (IF 1.2) Pub Date : 2023-5-3 Hang Li, Luwei Bai, Jia Yu, Yongmei Mao, Zhenzhen Hui
The informatization construction of the power grid is becoming increasingly popular, business application systems are constantly emerging, and power-related data is rapidly expanding. These discrete power data are scattered in various application systems, and it is not easy to directly provide advanced enterprise applications. The establishment of intelligent power statistical model is an urgent need
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A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-29 Fang Wang, Yu Wang
In this paper, the effect of a fractional constitutive model on the rheological properties of fluids and its application in numerical simulation are investigated, which is important to characterize the rheological properties of fluids and physical characteristics of materials more accurately. Based on this consideration, numerical simulation and analytical study of unsteady fractional Oldroyd-B viscoelastic
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The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-27 Yusuf Pandir, Tolga Akturk, Yusuf Gurefe, Hussain Juya
In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained using the modified exponential function method. Exact solutions consisting of hyperbolic, trigonometric, rational trigonometric, and rational function
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Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-27 Meng Li, Gulijiamali Maimaitiaili
This paper studies the stability criterion of integral time-varying recurrent neural networks (RNNs) with zero lower bound and finite-time synchronization based on improved sliding mode control (SMC). Firstly, a sufficient criterion for universal asymptotic stability of RNNs with integral time-varying delays is obtained by estimating a tight upper bound of augmented Lyapunov-Krasovskii functional (LKF)
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Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-24 Wenjian Zheng, An Chang, Qi Wang, Jianing Shang, Mandi Cui
The correlation filtering algorithm of infrared spectral data for dim and small target tracking is studied to improve the tracking accuracy of small and weak targets and to track small and weak targets in real time. After the image noise reduction processing by the mean shift filtering algorithm, the infrared small and weak target image data model is constructed by using the denoised infrared small
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Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-20 Qura Tul Ain, Muhammad Nadeem, Devendra Kumar, Mohd Asif Shah
In this article, the dynamics of the fuzzy fractional order enzyme Michaelis Menten model are investigated. To study problems with uncertainty, fuzzy fractional technique is applied. Using fuzzy theory, the sequential iterations of the model are calculated by applying fractional calculus theory and the homotopy perturbation method. A comparison is given for fractional and fuzzy results, and the numerical
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Use of Finite Element Method for Free Convection of Nanofluids between a Rectangular Enclosure and a Sinusoidal Cylinder Using Buongiorno’s Two-Phase Model Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-17 Abeer Alhashash, Habibis Saleh
In this study, the free convection of nanofluids between a rectangular enclosure and a sinusoidal cylinder is numerically analyzed using the finite element method (FEM). Two-phase Buongiorno’s formulation was used to model the fluid layer, and Brinkman-Forchheimer equation was used to formulate the porous layer. The enclosure has a low temperature, while the cylinder is maintained at a high temperature
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Optical Solitons and Single Traveling Wave Solutions for the Fiber Bragg Gratings with Generalized Anticubic Nonlinearity Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-15 Dan Chen, Zhao Li
This paper retrieves the vector-coupled version of the generalized anticubic nonlinearity model in fiber Bragg gratings. With the help of the trial equation approach and the complete discriminant system for polynomial, nine families of the optical solitons solutions and single traveling wave solutions for the fiber Bragg gratings with generalized anticubic nonlinearity are obtained. Under specific
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Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-14 Chao Tang, Zhao Li
The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two-dimensional planar dynamic system by using the traveling wave transformation. Secondly, by selecting fixed parameters, the phase portraits are drawn by using the Maple
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An Approximation Method for Variational Inequality with Uncertain Variables Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-14 Cunlin Li, Hongyu Zhang, Rui Yuan, Yee Hooi Min, Tzu-Chien Yin
In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. Firstly, uncertain variables are introduced on the basis of variational inequality. Since the uncertain variables are based on nonadditive measures, there is usually no density function. Secondly, the expected value model of UVIP is established after the expected value is discretized
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On a Multistable Type of Free Boundary Problem with a Flux at the Boundary Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-12 Haitao Ren, Jingjing Cai, Li Xu
This paper studies the free boundary problem of a multistable equation with a Robin boundary condition, which may be used to describe the spreading of the invasive species with the solution representing the density of species and the free boundary representing the boundary of the spreading region. The Robin boundary condition means that there is a flux of species at . By studying the asymptotic properties
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A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-12 Z. E. Musielak
The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental the equation gives the most complete description of propagating waves as it accounts for the Doppler effect, forward and backward waves, and makes the wave speed
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Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-5 Alexey Zhokh, Peter Strizhak
The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. We derive Green’s functions for short and long times via approximations of the Mittag-Leffler function. The time value for which the crossover between short- and long-time asymptotic holds is presented in explicit form. Based on the developed Green’s functions, the
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The Separation Properties of Binary Topological Spaces Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-3 Xiaoli Qiang, Saber Omidi, P. Sathishmohan, K. Lavanya, K. Rajalakshmi
In the present study, we introduce some new separation axioms for binary topological spaces. This new idea gives the notion of generalized binary (, , , , and spaces) and binary generalized semi (, , , , and spaces) using generalized binary open sets and binary generalized semi open sets to investigate their properties. We also provide adequate examples to assist and understand abstract concepts. In
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Application of Engineering Science Model Based on Fuzzy Sets in Enterprise Financial Evaluation Index Adv. Math. Phys. (IF 1.2) Pub Date : 2023-4-1 Yue Wang
With the continuous development of society and the increasingly fierce competition among enterprises, it is necessary to analyze the production and operation conditions of enterprises in a timely and effective manner. In the context of the development of information technology, many companies analyze financial data, and corporate financial analysis indicators are the analysis of various report data
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Stability of Set Differential Equations in Fréchet Spaces Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-31 Junyan Bao, Wei Chen, Peiguang Wang
In this paper, we investigate the stability of set differential equations in Fréchet space . Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space is a projective limit of Banach spaces.
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Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-30 Shen Liu, Jie Yang, Yue Liu, Qin Liu
Based on the wave function expansion method, the dynamic antiplane characteristics of a wedge-shaped quarter-space containing a circular hole are studied in a complex coordinate system. The wedge-shaped medium is decomposed into two subregions along the virtual boundary using the virtual region decomposition method. The scattering wave field in subregion I is constructed by the mirror method, and the
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Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-30 Satoshi Kawaguchi
Convolution representation manifests itself as an important tool in the reduction of partial differential equations. In this study, we consider the convolution representation of traveling pulses in reaction-diffusion systems. Under the adiabatic approximation of inhibitor, a two-component reaction-diffusion system is reduced to a one-component reaction-diffusion equation with a convolution term. To
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A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-20 M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad
In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval is solved. The discontinuous solution on the domain is approximated by a piecewise polynomial, and a collocation method is introduced to evaluate the unknown coefficients. This method, which can be applied to both linear and nonlinear integral equations, is very simple and
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Output Regulation of Switched Stochastic Systems with Sampled-Data Control Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-18 Xiaoxiao Dong, Hui Lan
This paper studies the output regulation problem for a class of switched stochastic systems with sampled-data control. Solutions to the output regulation problem are given in two situations. On the one hand, the exogenous signal is assumed to be a constant. By designing a sampled-data state feedback controller, we obtain that the closed-loop system is mean-square exponentially stable and the regulation
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Analytical Solutions of the Fractional Complex Ginzburg-Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-13 Ghazala Akram, Maasoomah Sadaf, M. Atta Ullah Khan, Hasan Hosseinzadeh
The complex Ginzburg-Landau model appears in the mathematical description of wave propagation in nonlinear optics. In this paper, the fractional complex Ginzburg-Landau model is investigated using the generalized exponential rational function method. The Kerr law and parabolic law are considered to discuss the nonlinearity of the proposed model. The fractional effects are also included using a novel
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Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-10 Dehe Li, Bo Li, Lifen Zhang
In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians , involving the shape operator and the Reeb vector field . Moreover, this integral inequality is optimal in the sense that the real hypersurfaces attaining the equality are completely determined. As direct consequences, some new characterizations of the real hypersurfaces
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Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-6 Hanan A. Alkhidhr, Mahmoud A. E. Abdelrahman
Due to high rate of electrical device usage of all types and high consumption of electricity, it is necessary to search for alternative way. There are so many models of nature describing many phenomena in energy, magnetic field, heat transfer, and so on. These models are reflected in the delicate nonlinear partial differential equations. The system of coupled Konno-Oono equations is one of those models
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Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized -Expansion Method Adv. Math. Phys. (IF 1.2) Pub Date : 2023-3-2 Sanjaya K. Mohanty, Apul N. Dev, Soubhagya Kumar Sahoo, Homan Emadifar, Geeta Arora
In this investigation, the exact solutions of variable coefficients of generalized Zakharov-Kuznetsov (ZK) equation and the Gardner equation are studied with the help of an extended generalized expansion method. The main objective of this study is to establish the closed-form solutions and dynamics of analytical solutions to the generalized ZK equation and the Gardner equation. The generalized ZK equation