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Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge J. Math. (IF 1.4) Pub Date : 2024-3-18 Dur-e-Shehwar Sagheer, Mohammad Alqudah, Nawal A. Alshehri, M. Sabeel Khan, M. Asif Memon, R. Shehzad, Amsalu Fenta
This work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating. Moreover, the effects of porosity and viscous dissipation are studied in detail and included in the analysis. The importance of this study is due to its applications in biomedical engineering where the analysis of behavior of non-Newtonian
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A Second-Order Finite-Difference Method for Derivative-Free Optimization J. Math. (IF 1.4) Pub Date : 2024-3-15 Qian Chen, Peng Wang, Detong Zhu
In this paper, a second-order finite-difference method is proposed for finding the second-order stationary point of derivative-free nonconvex unconstrained optimization problems. The forward-difference or the central-difference technique is used to approximate the gradient and Hessian matrix of objective function, respectively. The traditional trust-region framework is used, and we minimize the approximation
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Study of Nonlinear Second-Order Differential Inclusion Driven by a Laplacian Operator Using the Lower and Upper Solutions Method J. Math. (IF 1.4) Pub Date : 2024-3-14 Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli
In this paper, we study a second-order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and the theory of monotone operators. We show the
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A Convergent Legendre Spectral Collocation Method for the Variable-Order Fractional-Functional Optimal Control Problems J. Math. (IF 1.4) Pub Date : 2024-3-9 Zahra Pirouzeh, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari
In this paper, a numerical method is applied to approximate the solution of variable-order fractional-functional optimal control problems. The variable-order fractional derivative is described in the type III Caputo sense. The technique of approximating the optimal solution of the problem using Lagrange interpolating polynomials is employed by utilizing the shifted Legendre–Gauss–Lobatto collocation
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On a Perturbed Risk Model with Time-Dependent Claim Sizes J. Math. (IF 1.4) Pub Date : 2024-3-7 Longfei Wei, Jia Hao, Shiyu Song, Zhenhua Bao
We consider a risk model perturbed by a Brownian motion, where the individual claim sizes are dependent on the inter-claim times. We study the Gerber–Shiu functions when ruin is due to a claim or the jump-diffusion process. Integro-differential equations and Laplace transforms satisfied by the Gerber–Shiu functions are obtained. Then, it is shown that the expected discounted penalty functions satisfy
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On Partial Exact Controllability of Fractional Control Systems in Conformable Sense J. Math. (IF 1.4) Pub Date : 2024-3-7 Maher Jneid
In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be
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Distance-Based Fractional Dimension of Certain Wheel Networks J. Math. (IF 1.4) Pub Date : 2024-3-4 Hassan Zafar, Muhammad Javaid, Mamo Abebe Ashebo
Metric dimension is one of the distance-based parameters which are used to find the position of the robot in a network space by utilizing lesser number of notes and minimum consumption of time. It is also used to characterize the chemical compounds. The metric dimension has a wide range of applications in the field of computer science such as integer programming, radar tracking, pattern recognition
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Fractional Mixed Weighted Convolution and Its Application in Convolution Integral Equations J. Math. (IF 1.4) Pub Date : 2024-3-4 Rongbo Wang, Qiang Feng
The convolution integral equations are very important in optics and signal processing domain. In this paper, fractional mixed-weighted convolution is defined based on the fractional cosine transform; the corresponding convolution theorem is achieved. The properties of fractional mixed-weighted convolution and Young’s type theorem are also explored. Based on the fractional mixed-weighted convolution
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Numerical Solution of Burgers–Huxley Equation Using a Higher Order Collocation Method J. Math. (IF 1.4) Pub Date : 2024-2-29 Aditi Singh, Sumita Dahiya, Homan Emadifar, Masoumeh Khademi
In this paper, the collocation method with cubic B-spline as basis function has been successfully applied to numerically solve the Burgers–Huxley equation. This equation illustrates a model for describing the interaction between reaction mechanisms, convection effects, and diffusion transport. Quasi-linearization has been employed to deal with the nonlinearity of equations. The Crank–Nicolson implicit
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An RBF-LOD Method for Solving Stochastic Diffusion Equations J. Math. (IF 1.4) Pub Date : 2024-2-28 Samaneh Mokhtari, Ali Mesforush, Reza Mokhtari, Rahman Akbari
In this study, we introduce an innovative approach to solving stochastic equations in two and three dimensions, leveraging a time-splitting strategy. Our method combines radial basis function (RBF) spatial discretization with the Crank–Nicolson scheme and the local one-dimensional (LOD) method for temporal approximation. To navigate the probabilistic space inherent in these equations, we employ the
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A Novel Opportunity Losses-Based Polar Coordinate Distance (OPLO-POCOD) Approach to Multiple Criteria Decision-Making J. Math. (IF 1.4) Pub Date : 2024-2-27 Reza Sheikh, Soheila Senfi
The ability to make decisions is crucial for achieving success in any field, particularly in areas that involve managing extensive information and knowledge. The process of decision-making in real-world scenarios often involves considering numerous factors and aspects. It can be challenging to make decisions in such complex environments. In this paper, we present a new technique that solves multicriteria
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New Solutions of Time- and Space-Fractional Black–Scholes European Option Pricing Model via Fractional Extension of He-Aboodh Algorithm J. Math. (IF 1.4) Pub Date : 2024-2-24 Mubashir Qayyum, Efaza Ahmad
The current study explores the space and time-fractional Black–Scholes European option pricing model that primarily occurs in the financial market. To tackle the complexities associated with solving models in a fractional environment, the Aboodh transform is hybridized with He’s algorithm. This facilitates in improving the efficiency and applicability of the classical homotopy perturbation method (HPM)
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Radiative Mixed Convection Flow of Casson Nanofluid through Exponentially Permeable Stretching Sheet with Internal Heat Generation J. Math. (IF 1.4) Pub Date : 2024-2-24 Mazhar Hussain, Shereen Fatima, Mubashir Qayyum
This paper investigates the mixed convection boundary-layer flow of Casson nanofluid with an internal heat source on an exponentially stretched sheet. The Buongiorno model, incorporating thermophoresis and Brownian motion, describes fluid temperature. The modeled system is solved numerically using bvp4c routine to analyze the impact of different fluid parameters on velocity, temperature, and concentration
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A Competitive Bilevel Programming Model for Green, CLSCs in Light of Government Incentives J. Math. (IF 1.4) Pub Date : 2024-2-23 Arsalan Rahmani, Meysam Hosseini, Amir Sahami
The growth of world population has fueled environmental, legal, and social concerns, making governments and companies attempt to mitigate the environmental and social implications stemming from supply chain operations. The state-run Environmental Protection Agency has initially offered financial incentives (subsidies) meant to encourage supply chain managers to use cleaner technologies in order to
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Characterization of a Cournot–Nash Equilibrium for a Fishery Model with Fuzzy Utilities J. Math. (IF 1.4) Pub Date : 2024-2-20 R. Israel Ortega-Gutiérrez, Raúl Montes-de-Oca, Hugo Cruz-Suárez
The article deals with the extensions of discrete-time games with infinite time horizon and their application in a fuzzy context to fishery models. The criteria for these games are the total discounted utility and the average utility in a fishing problem. However, in the fuzzy case, game theory is not the best way to represent a real fishing problem because players do not always have enough information
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Some Inequalities between General Randić-Type Graph Invariants J. Math. (IF 1.4) Pub Date : 2024-2-20 Imran Nadeem, Saba Siddique, Yilun Shang
The Randić-type graph invariants are extensively investigated vertex-degree-based topological indices and have gained much prominence in recent years. The general Randić and zeroth-order general Randić indices are Randić-type graph invariants and are defined for a graph with vertex set as and , respectively, where is an arbitrary real number, denotes the degree of a vertex , and represents the adjacency
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Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid J. Math. (IF 1.4) Pub Date : 2024-2-19 Ali Al Khabyah, Ali N. A. Koam, Ali Ahmad
Chemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory. The concept of partition dimension has significant importance in the field of chemical graph theory. Although certain graphs have bounded partition dimensions, a graph’s partition dimension may be constant. In this study
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A Modified Form of Inertial Viscosity Projection Methods for Variational Inequality and Fixed Point Problems J. Math. (IF 1.4) Pub Date : 2024-2-19 Watanjeet Singh, Sumit Chandok
This paper aims to introduce an iterative algorithm based on an inertial technique that uses the minimum number of projections onto a nonempty, closed, and convex set. We show that the algorithm generates a sequence that converges strongly to the common solution of a variational inequality involving inverse strongly monotone mapping and fixed point problems for a countable family of nonexpansive mappings
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Algorithmic Complexity and Bounds for Domination Subdivision Numbers of Graphs J. Math. (IF 1.4) Pub Date : 2024-2-15 Fu-Tao Hu, Chang-Xu Zhang, Shu-Cheng Yang
Let be a simple graph. A subset is a dominating set if every vertex not in is adjacent to a vertex in . The domination number of , denoted by , is the smallest cardinality of a dominating set of . The domination subdivision number of is the minimum number of edges that must be subdivided (each edge can be subdivided at most once) in order to increase the domination number. In 2000, Haynes et al. showed
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Stabilization of a Rao–Nakra Sandwich Beam System by Coleman–Gurtin’s Thermal Law and Nonlinear Damping of Variable-Exponent Type J. Math. (IF 1.4) Pub Date : 2024-2-13 Mohammed M. Al-Gharabli, Shadi Al-Omari, Adel M. Al-Mahdi
In this paper, we explore the asymptotic behavior of solutions in a thermoplastic Rao–Nakra (sandwich beam) beam equation featuring nonlinear damping with a variable exponent. The heat conduction in this context adheres to Coleman–Gurtin’s thermal law, encompassing linear damping, Fourier, and Gurtin–Pipkin’s laws as specific instances. By employing the multiplier approach, we establish general energy
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Higher Derivations Satisfying Certain Identities in Rings J. Math. (IF 1.4) Pub Date : 2024-2-8 Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney
Let and be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations satisfying (i) for all and (ii) for all .
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Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models J. Math. (IF 1.4) Pub Date : 2024-2-6 Jia Li, Xuelian Bai
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention recently. Under the proper condition of the parameter, the existence of a solution is proved by constructing the initial boundary value problem of
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Solving Large-Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class J. Math. (IF 1.4) Pub Date : 2024-2-5 Sanaz Bojari, Mahmoud Paripour
The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the Dai–Liao conjugacy condition. Global convergence property of the new class is proved under the weak-Wolfe–Powell line search technique. Numerical efficiency
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Congruences Involving Special Sums of Triple Reciprocals J. Math. (IF 1.4) Pub Date : 2024-2-2 Zhongyan Shen
Define the sums of triple reciprocals . Zhao discovered the following curious congruence for any odd prime , Xia and Cai extended the above congruence to modulo where is a prime. In this paper, we consider the congruences about (where is the integral part of , ) modulo . When , the results we obtain are the results of Zhao and Xia and Cai.
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Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance J. Math. (IF 1.4) Pub Date : 2024-2-1 Yanli Ma, Xuewu Zuo
It is well known that many natural phenomena and human activities do exhibit impulsive effects in the fields of epidemiology. At the same time, compared with a single control strategy, it is obvious that the multiple control strategies are more beneficial to restrain the spread of infectious diseases. In this paper, we consider pulse vaccination and pulse elimination strategies at the same time and
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The Best Fit Bayesian Hierarchical Generalized Linear Model Selection Using Information Complexity Criteria in the MCMC Approach J. Math. (IF 1.4) Pub Date : 2024-2-1 Endris Assen Ebrahim, Mehmet Ali Cengiz, Erol Terzi
Both frequentist and Bayesian statistics schools have improved statistical tools and model choices for the collected data or measurements. Model selection approaches have advanced due to the difficulty of comparing complicated hierarchical models in which linear predictors vary by grouping variables, and the number of model parameters is not distinct. Many regression model selection criteria are considered
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A High Accuracy Numerical Method Based on Interpolation Technique for Time-Fractional Advection-Diffusion Equations J. Math. (IF 1.4) Pub Date : 2024-1-29 Yan Chen, Xindong Zhang
In this paper, the time-fractional advection-diffusion equation (TFADE) is solved by the barycentric Lagrange interpolation collocation method (BLICM). In order to approximate the fractional derivative under the definition of Caputo, BLICM is used to approximate the unknown function. We obtain the discrete scheme of the equation by combining BLICM with the Gauss-Legendre quadrature rule. The convergence
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Horadam Spinors J. Math. (IF 1.4) Pub Date : 2024-1-29 Tülay Erişir
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are
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Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 and GTUC J. Math. (IF 1.4) Pub Date : 2024-1-29 Shahid Zaman, Asad Ullah, Rabia Naseer, Kavi Bahri Rasool
A topological index is a structural descriptor of any molecule/nanostructure that characterizes its topology. In the QSAR and QSPR research, topological indices are employed to predict the physical characteristics associated with bioactivities and chemical reactivity within specific networks. 2D nanostructured materials have many exhibit numerous chemical, mechanical, and physical features. These nanomaterials
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Characterization of Fractional Mixed Domination Number of Paths and Cycles J. Math. (IF 1.4) Pub Date : 2024-1-27 P. Shanthi, S. Amutha, N. Anbazhagan, G. Uma, Gyanendra Prasad Joshi, Woong Cho
Let G′ be a simple, connected, and undirected (UD) graph with the vertex set M(G′) and an edge set N(G′). In this article, we define a function as a fractional mixed dominating function (FMXDF) if it satisfies for all , where indicates the closed mixed neighbourhood of , that is the set of all such that is adjacent to and is incident with and also itself. Here, is the poundage (or weight) of f. The
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Reducing Bias in Beta Regression Models Using Jackknifed Liu-Type Estimators: Applications to Chemical Data J. Math. (IF 1.4) Pub Date : 2024-1-27 Solmaz Seifollahi, Hossein Bevrani, Olayan Albalawi
In the field of chemical data modeling, it is common to encounter response variables that are constrained to the interval (0, 1). In such cases, the beta regression model is often a more suitable choice for modeling. However, like any regression model, collinearity can present a significant challenge. To address this issue, the Liu-type estimator has been used as an alternative to the maximum likelihood
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MDS and MHDR Cyclic Codes over Finite Chain Rings J. Math. (IF 1.4) Pub Date : 2024-1-25 Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
This work establishes a unique set of generators for a cyclic code over a finite chain ring. Towards this, we first determine the minimal spanning set and rank of the code. Furthermore, sufficient as well as necessary conditions for a cyclic code to be an MDS code and for a cyclic code to be an MHDR code are obtained. Finally, to support our results, some examples of optimal cyclic codes are presented
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Numerical and Scientific Investigation of Some Molecular Structures Based on the Criterion of Super Classical Average Assignments J. Math. (IF 1.4) Pub Date : 2024-1-24 A. Rajesh Kannan, Nazek Alessa, K. Loganathan, Balachandra Pattanaik
Numbering a graph is a very practical and effective technique in science and engineering. Numerous graph assignment techniques, including distance-based labeling, topological indices, and spectral graph theory, can be used to investigate molecule structures. Consider the graph , with the injection from the node set to , where is the sum of the number of nodes and links. Assume that the induced link
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Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections J. Math. (IF 1.4) Pub Date : 2024-1-24 Weiyan Yu, Ran Wang, Chen Zhang
Let be a complex separable Hilbert space and be the algebra of all bounded linear operators from to . Our goal in this article is to describe the closure of numerical range of parallel sum operator for two orthogonal projections and in as a closed convex hull of some explicit ellipses parameterized by points in the spectrum.
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A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces J. Math. (IF 1.4) Pub Date : 2024-1-23 Mohammed M. M. Jaradat, Abeeda Ahmad, Saif Ur Rehman, Nabaa Muhammad Diaa, Shamoona Jabeen, Muhammad Imran Haider, Iqra Shamas, Rawan A. Shlaka
In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common fixed point for a generalized contraction in the said space. In addition, we present a supportive application
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Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks J. Math. (IF 1.4) Pub Date : 2024-1-23 Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao
In this paper, we obtain some inequalities involving positive semidefinite block matrices and their blocks.
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Exact Null Controllability of String Equations with Neumann Boundaries J. Math. (IF 1.4) Pub Date : 2024-1-22 Lizhi Cui, Jing Lu
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the characteristic speed, we can obtain the exact null controllability of this equation by using the Hilbert
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Performance Analysis of Two Different Types of Waiting Queues with Working Vacations J. Math. (IF 1.4) Pub Date : 2024-1-22 M. Sundararaman, D. Narasimhan, P. Rajadurai
This work examines a new class of working vacation queueing models that contain regular (original) and retrial waiting queues. Upon arrival, a customer either starts their service instantly if the server is available, or they join the regular queue if the server is occupied. When it is empty, the server departs the system to take a working vacation (WV). The server provides services more slowly during
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Structure and Rank of a Cyclic Code over a Class of Nonchain Rings J. Math. (IF 1.4) Pub Date : 2024-1-18 Nikita Jain, Sucheta Dutt, Ranjeet Sehmi
The rings have been classified into chain rings and nonchain rings based on the values of . In this paper, the structure of a cyclic code of arbitrary length over the rings for those values of for which these are nonchain rings has been established. A unique form of generators for a cyclic code over these rings has also been obtained. Furthermore, the rank and cardinality of a cyclic code over these
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The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus J. Math. (IF 1.4) Pub Date : 2024-1-17 Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi
Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs
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New Developments of Hermite–Hadamard Type Inequalities via s-Convexity and Fractional Integrals J. Math. (IF 1.4) Pub Date : 2024-1-16 Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela
In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are -convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are -convex are also established with the help of an existing
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Exploring the Steady Flow of a Viscoelastic Fluid Passing over a Porous Perpendicular Plate Subjected to Heat Generation and Chemical Reactions J. Math. (IF 1.4) Pub Date : 2024-1-13 K. Sudarmozhi, D. Iranian, M. M. Alqarni, Muhammad Sabeel Khan, Emad E. Mahmoud, R. Pradhan, M. M. Haque
This study aims to bridge the gap by conducting a numerical analysis of Maxwell fluid behaviour on a perpendicular plate within a porous medium, considering both chemical reaction and heat generation. The investigation also encompasses the study of energy and mass transfer within magnetohydrodynamic (MHD) Maxwell fluids. We utilise a transformation technique employing similarity variables to address
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Some Properties of -Semiannihilator Small Submodules and -Small Submodules with respect to a Submodule J. Math. (IF 1.4) Pub Date : 2024-1-9 F. Farzalipour, S. Rajaee, P. Ghiasvand
Let be a commutative ring with nonzero identity, be a multiplicatively closed subset of , and be a unital -module. In this article, we introduce the concepts of -semiannihilator small submodules and --small submodules as generalizations of -small submodules. We investigate some basic properties of them and give some characterizations of such submodules, especially for (finitely generated faithful)
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Modeling and Analysis of an Age-Structured Malaria Model in the Sense of Atangana–Baleanu Fractional Operators J. Math. (IF 1.4) Pub Date : 2024-1-8 Dawit Kechine Menbiko, Chernet Tuge Deressa
In this paper, integer- and fractional-order models are discussed to investigate the dynamics of malaria in a human host with a varied age distribution. A system of differential equation model with five human state variables and two mosquito state variables was examined. Preschool-age (0–5) and young-age individuals make up our model’s division of the human population. We investigated the existence
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Mathematical Modelling of Host-Pest Interaction in the Presence of Insecticides and Resistance: A Case of Fall Armyworm J. Math. (IF 1.4) Pub Date : 2024-1-4 Moreen Brenda Gatwiri, Marilyn Ronoh, Cyrus Gitonga Ngari, Dominic Makaa Kitavi
Several pest management programs have been developed to control rising agricultural pest populations. However, the challenge of rapid evolution and pest resistance towards control measures continues to cause high production losses to maize farmers in Africa. Few models have attempted to address the issue of fall armyworm (FAW) but have barely incorporated the effect of insecticide resistance. Models
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Composition-Differentiation Operators on Derivative Hardy Spaces J. Math. (IF 1.4) Pub Date : 2024-1-4 A. Abkar, A. Babaei
We first explore conditions under which every weighted composition-differentiation operator on the Hardy space is completely continuous. We then discuss necessary and sufficient conditions for these operators to be Hilbert–Schmidt on the derivative Hardy space .
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New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation J. Math. (IF 1.4) Pub Date : 2024-1-3 Ihtisham Ul Haq, Ali Akgül, Zahid Ullah
In this article, we address the challenge of solving the nonlinear fractional Burger’s KdV equation, time-fractional Burger’s equation, and the fractional modified Burger’s equation. This is achieved by employing the Caputo and conformable derivatives. To tackle these equations, we introduce a new numerical method which is the combination of the local fractional Mohand transform and the Adomian decomposition
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Lie Symmetry Analysis for the Fractal Bond-Pricing Model of Mathematical Finance J. Math. (IF 1.4) Pub Date : 2024-1-3 Chao Yue, Chuanhe Shen
The classical bond-pricing models, as important financial tools, show strong vitality in bond pricing. However, these models also expose their theoretical defects, which leads to inconsistencies with the actual observation results and usually causes the theoretical prices of bonds to be lower than the actual market prices in the financial market. In order to change this situation, considering that
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Computation of Wiener and Wiener Polarity Indices of a Class of Nanostar Dendrimer Using Vertex Weighted Graphs J. Math. (IF 1.4) Pub Date : 2024-1-2 Syed Ahtsham Ul Haq Bokhary, Pakeeza Bashir, Allah Nawaz, Shreefa O. Hilali, Mohammed Alhagyan, Ameni Gargouri, Mohammed M. A. Almazah
Nanostar dendrimers are tree-like nanostructures with a well-defined, symmetrical architecture. They are built in a step-by-step, controlled synthesis process, with each layer or generation building on the previous one. Dendrimers are made up of a central core, a series of repeating units or branches, and a surface group shell. A weighted graph is a type of graph in which vertices or edges are assigned
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A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α J. Math. (IF 1.4) Pub Date : 2023-12-31 Mohammad Ayman-Mursaleen, Nadeem Rao, Mamta Rani, Adem Kilicman, Ahmed Ahmed Hussin Ali Al-Abied, Pradeep Malik
The objective of this paper is to construct univariate and bivariate blending type -Schurer–Kantorovich operators depending on two parameters and to approximate a class of measurable functions on . We present some auxiliary results and obtain the rate of convergence of these operators. Next, we study the global and local approximation properties in terms of first- and second-order modulus of smoothness
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On the Expected Discounted Penalty Function Using Physics-Informed Neural Network J. Math. (IF 1.4) Pub Date : 2023-12-28 Jiayu Wang, Houchun Wang
We study the expected discounted penalty at ruin under a stochastic discount rate for the compound Poisson risk model with a threshold dividend strategy. The discount rate is modeled by a Poisson process and a standard Brownian motion. By applying the differentiation method and total expectation formula, we obtain an integrodifferential equation for the expected discounted penalty function. From this
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Well-Posedness in Variable-Exponent Function Spaces for the Three-Dimensional Micropolar Fluid Equations J. Math. (IF 1.4) Pub Date : 2023-12-26 Muhammad Zainul Abidin, Muhammad Marwan, Naeem Ullah, Ahmed Mohamed Zidan
In this paper, we work on the Cauchy problem of the three-dimensional micropolar fluid equations. For small initial data, in the variable-exponent Fourier–Besov spaces, we achieve the global well-posedness result. The Littlewood–Paley decomposition method and the Fourier-localization technique are main tools to obtain the results. Moreover, the results discussed in our work show the Gevrey class regularity
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Application of Asymptotic Analysis of a High-Dimensional HJB Equation to Portfolio Optimization J. Math. (IF 1.4) Pub Date : 2023-12-21 Lei Hu
In this paper, we consider a portfolio optimization problem where the wealth consists of investing into a risky asset with a slow mean-reverting volatility and receiving an uncontrollable stochastic cash flow under the exponential utility. The Hamilton–Jacobi–Bellman equation formulated from the optimal investment problem is a high-dimensional nonlinear partial differential equation and difficult to
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The Full Index Sets of J. Math. (IF 1.4) Pub Date : 2023-12-20 Zhizhong Liu, Jinmeng Liu, Yurong Ji
Shiu and Kwong (2008) studied the full friendly index set of , which only addressed the cases where or 1. In this paper, we significantly extend their work by determining the full index set for all values of . Our key approach is to utilize graph embedding and recursion methods to deduce for general . In particular, we embed small graphs like and into and apply recursive techniques to prove the main
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Numerical Solution of Fractional Order Integro-Differential Equations via Müntz Orthogonal Functions J. Math. (IF 1.4) Pub Date : 2023-12-15 S. Akhlaghi, M. Tavassoli Kajani, M. Allame
In this paper, we derive a spectral collocation method for solving fractional-order integro-differential equations by using a kind of Müntz orthogonal functions that are defined on and have simple and real roots in this interval. To this end, we first construct the operator of Riemann–Liouville fractional integral corresponding to this kind of Müntz functions. Then, using the Gauss–Legendre quadrature
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Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method J. Math. (IF 1.4) Pub Date : 2023-12-14 Muhammad Qiyas, Neelam Khan, Muhammad Naeem, Samuel Okyere
In everyday life, decision-making is a difficult task fraught with ambiguity and uncertainty. Many researchers and scholars have suggested numerous fuzzy set theories to resolve these ambiguities and uncertainties. The EDAS method (evaluation based on distance from average answer) is extremely beneficial in decision-making situations. In multi-attribute group decision-making (MAGDM) situations, this
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On the Independent Coloring of Graphs with Applications to the Independence Number of Cartesian Product Graphs J. Math. (IF 1.4) Pub Date : 2023-12-12 Nopparat Pleanmani, Sayan Panma, Nuttawoot Nupo
Let be a graph with . A nonempty subset of is called an independent set of if no two distinct vertices in are adjacent. The union of a class { is an independent set of } and is denoted by . For a graph , a function is called an independent coloring of (or simply called an coloring) if for any adjacent vertices and is a class of disjoint sets. Let denote the maximum cardinality of the set{ is an coloring
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A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces J. Math. (IF 1.4) Pub Date : 2023-12-12 Naeem Saleem, Imo Kalu Agwu, Umar Ishtiaq, Fahd Jarad
In this paper, firstly, we introduce a method for finding common fixed point of -Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and -Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Banach space. Secondly, the demiclosedness principle for total asymptotically strictly pseudo-non-spreading
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Formulas for the Number of Weak Homomorphisms from Paths to Ladder Graphs and Stacked Prism Graphs J. Math. (IF 1.4) Pub Date : 2023-12-11 Hatairat Yingtaweesittikul, Sayan Panma, Penying Rochanakul
Let and be graphs. A mapping from to is called a weak homomorphism from to if or whenever . A ladder graph is the Cartesian product of two paths, where one of the paths has only one edge. A stacked prism graph is the Cartesian product of a path and a cycle. In this paper, we provide a formula to determine the number of weak homomorphisms from paths to ladder graphs and a formula to determine the number
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A Context-Free Grammar Associated with Fibonacci and Lucas Sequences J. Math. (IF 1.4) Pub Date : 2023-12-11 Harold Ruilong Yang
We introduce a context-free grammar to generate Fibonacci and Lucas sequences. By applying the grammar , we give a grammatical proof of the Binet formula. Besides, we use the grammar to provide a unified approach to prove several binomial convolutions about Fibonacci and Lucas numbers, which were given by Hoggatt, Carlitz, and Church. Meanwhile, we also obtain some new binomial convolutions.