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A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2024-3-18 Asifa Tassaddiq, Wakeel Ahmed, Shahid Zaman, Asma Raza, Usman Islam, Kwara Nantomah
The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive
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Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2024-3-16 Munirah Aljuaid, M. A. Bakhit
This article examines the norms of composition operators from the weighted harmonic Bloch space to the weighted harmonic Zygmund space . The critical norm is on the open unit disk. We first give necessary and sufficient conditions where the composition operator between and is bounded. Secondly, we will study the compactness case of the composition operator between and . Finally, we will estimate the
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Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms J. Funct. Spaces (IF 1.9) Pub Date : 2024-3-7 Ayşe Fidan, Erhan Pişkin, Ercan Çelik
In this paper, we consider the weighted -biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.
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Locating Edge Domination Number of Some Classes of Claw-Free Cubic Graphs J. Funct. Spaces (IF 1.9) Pub Date : 2024-2-29 Muhammad Shoaib Sardar, Hamna Choudhry, Jia-Bao Liu
Let be a simple graph with vertex set and edge set . In a graph , a subset of edges denoted by is referred to as an edge-dominating set of if every edge that is not in is incident to at least one member of . A set is the locating edge-dominating set if for every two edges , the sets and are nonempty and different. The edge domination number of is the minimum cardinality of all edge-dominating sets
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Naimark-Type Results Using Frames J. Funct. Spaces (IF 1.9) Pub Date : 2024-2-22 Raksha Sharma, Nikhil Khanna
In this article, a modified version of frame called frame associated with a sequence of scalars (FASS) is defined. This modified version of frame is used to study quantum measurements. Also, using FASS, some Naimark-type results are obtained. Finally, a formula to give the average probability of an incorrect measurement using FASS is obtained.
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A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions J. Funct. Spaces (IF 1.9) Pub Date : 2024-2-15 Oqlah Al-Refai, Ala Amourah, Tariq Al-Hawary, Basem Aref Frasin
This study establishes a new method to investigate bounds of ; , for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds of and consider several corollaries, remarks, and consequences of the results presented in this paper.
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Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-23 Xingfang Feng, Yucheng Li
This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate
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On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-22 Mojtaba Fardi, Ebrahim Amini, Shrideh Al-Omari
In this paper, we employ a -Noor integral operator to perform a -analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the -fractional integral operator and apply the inspired presented theory of the differential subordination, to
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Inclusion Properties for Classes of -Valent Functions J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-22 B. M. Munasser, A. O. Mostafa, T. Sultan, Nasser A. EI-Sherbeny, S. M. Madian
Making use of a differential operator, which is defined here by means of the Hadamard product, we introduce classes of -valent functions and investigate various important inclusion properties and characteristics for these classes. Also, a property preserving integrals is considered.
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Global Universality of the Two-Layer Neural Network with the -Rectified Linear Unit J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-18 Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano
This paper concerns the universality of the two-layer neural network with the -rectified linear unit activation function with with a suitable norm without any restriction on the shape of the domain in the real line. This type of result is called global universality, which extends the previous result for by the present authors. This paper covers -sigmoidal functions as an application of the fundamental
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New Integral Operator for Analytic Functions J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-12 H. Özlem Güney, Shigeyoshi Owa, Adel A. Attiya
Let be the class of functions given by which are analytic in the open unit disk For , new integral operators and are considered. The operators and satisfy and for the convolution of and In the present paper, the dominants for both operators and and subordinations for and are discussed. Also, new subclass concerning with different boundary points is defined and discussed. Moreover, some interesting
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays J. Funct. Spaces (IF 1.9) Pub Date : 2024-1-5 Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy
This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler. Besides, we generalize, extend, and develop some well-known results in the existing literature.
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The Existence Result for a -Kirchhoff-Type Problem Involving Critical Sobolev Exponent J. Funct. Spaces (IF 1.9) Pub Date : 2023-12-18 Hayat Benchira, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri
In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a -Kirchhoff-type problem with critical Sobolev exponent.
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A Two-Point Boundary Value Problem with Reflection of the Argument J. Funct. Spaces (IF 1.9) Pub Date : 2023-11-28 Nai-Sher Yeh
We consider the following two-point boundary value problems in and in by setting and being a Caratheodory function. When , for a.e. with strict inequality on a positive measurable subset of , and for a.e. as well as sufficiently large , several existence theorems will be obtained, with or without a sign condition.
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Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels J. Funct. Spaces (IF 1.9) Pub Date : 2023-11-24 Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels. Using the separation of variables, the nonlinear mixed partial integrodifferential equation is converted to a nonlinear Fredholm integral equation. Then, using different numerical methods, the Bernoulli polynomial method and the Chebyshev polynomials
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An Analytical View of Nonlinear Fractional Burger’s Equations Using Conformable Double Elzaki Transform J. Funct. Spaces (IF 1.9) Pub Date : 2023-11-24 Eltaib M. Abd Elmohmoud, Mohamed Z. Mohamed, M. Magzoub, Alla Mahmoud Elsheikh
The conformable double Elzaki composition technique (CDET) and the Adomian decomposition technique are combined in this work to provide a novel approach for dealing with nonlinear partial issues under certain specified conditions. The conformable double Elzaki composition (CDEC) approach is the name we give to this novel technique. We also outline and discuss the main traits and major conclusions connected
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Optical Solitons for the Fokas-Lenells Equation with Beta and M-Truncated Derivatives J. Funct. Spaces (IF 1.9) Pub Date : 2023-11-16 Farah M. Al-Askar
The Fokas-Lenells equation (FLE) including the M-truncated derivative or beta derivative is examined. Using the modified mapping method, new elliptic, hyperbolic, rational, and trigonometric solutions are created. Also, we extend some previous results. Since the FLE has various applications in telecommunication modes, quantum field theory, quantum mechanics, and complex system theory, the solutions
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New Fixed Point Theorems for Contraction on -Generalized Metric Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2023-10-21 Abdelkarim Kari, Ahmed Al-Rawashdeh
In this paper, we consider a new extension of the Banach contraction principle, which is called the contraction inspired by the concept of contraction in -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application
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The Solution of Two-Dimensional Coupled Burgers’ Equation by -Double Laplace Transform J. Funct. Spaces (IF 1.9) Pub Date : 2023-10-12 Reem K. Alhefthi, Hassan Eltayeb
The two-dimensional coupled Burgers’ equation, a foundational partial differential equation, boasts widespread relevance across numerous scientific domains. Attaining precise solutions to this equation stands as a pivotal endeavor, fostering a comprehensive understanding of both physical phenomena and mathematical models. In this article, we underscore the paramount significance of the -double Laplace
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Retracted: Application of Optimized Support Vector Machine Model in Tax Forecasting System J. Funct. Spaces (IF 1.9) Pub Date : 2023-10-4 Journal of Function Spaces
This article has no abstract.
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Barycentric Interpolation Collocation Method for Solving Fractional Linear Fredholm-Volterra Integro-Differential Equation J. Funct. Spaces (IF 1.9) Pub Date : 2023-10-3 Jin Li, Kaiyan Zhao, Xiaoning Su
In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE). Firstly, the fractional order term of equation is transformed into the Riemann integral with Caputo definition, and this integral term is approximated by the Gauss quadrature formula. Secondly, the barycentric interpolation basis function
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The Existence and Multiplicity of Solutions for -Laplacian-Like Neumann Problems J. Funct. Spaces (IF 1.9) Pub Date : 2023-9-16 Changmu Chu, Ying Tang
In the present paper, in view of the variational approach, we discuss the Neumann problems with -Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under suitable assumptions.
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Ground State Solutions of Schrödinger-Kirchhoff Equations with Potentials Vanishing at Infinity J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-31 Dongdong Sun
In this paper, we deal with the following Schrödinger-Kirchhoff equation with potentials vanishing at infinity: and where and with , and . We first prove the existence of positive ground state solutions under the assumption that for some , then we show that concentrates at a global minimum point of .
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Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-28 Xiangyu Ge, Xia Zhu, Gang Bi, Hao Zheng, Qing Li
The option butterfly portfolio is the commonly option arbitrage strategy. In reality, because the distribution of the option state price density (SPD) function is not normal and unknown, so the nonparametric deep learning methods to estimate option butterfly portfolio returns are proposed. This paper constructs the single-index nonparametric option pricing model which contains multiple influencing
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Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-25 Waseem Ahmad Khan, Maryam Salem Alatawi, Ugur Duran
In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first
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Some Interesting Inequalities for the Class of Generalized Convex Functions of Higher Order J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-22 Limei Liu, Muhammad Shoaib Saleem, Faisal Yasin, Kiran Naseem Aslam, Pengfei Wang
In this paper, we study a generalized version of strongly reciprocally convex functions of higher order. Firstly, we prove some basic properties for addition, scalar multiplication, and composition of functions. Secondly, we establish Hermite-Hadamard and Fejér type inequalities for the generalized version of strongly reciprocally convex functions of higher order. We also include some fractional integral
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Newfangled Linearization Formula of Certain Nonsymmetric Jacobi Polynomials: Numerical Treatment of Nonlinear Fisher’s Equation J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-21 W. M. Abd-Elhameed, Afnan Ali, Y. H. Youssri
This article is devoted to deriving a new linearization formula of a class for Jacobi polynomials that generalizes the third-kind Chebyshev polynomials class. In fact, this new linearization formula generalizes some existing ones in the literature. The derivation of this formula is based on employing a new moment formula of this class of polynomials and after that using suitable symbolic computation
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Complete Continuity of Composition-Differentiation Operators on the Hardy Space J. Funct. Spaces (IF 1.9) Pub Date : 2023-8-16 Ali Abkar
We study composition-differentiation operators on the Hardy space on the unit disk. We prove that if is an analytic self-map of the unit disk such that the composition-differentiation operator induced by is bounded on the Hardy space , then it is completely continuous. This result is stronger than the similar result for composition operators which says that the composition operator induced by is completely
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Central Sets Theorem Near of an Idempotent in Wap-Compactification J. Funct. Spaces (IF 1.9) Pub Date : 2023-7-14 Ali Pashapournia, Mohammad Akbari Tootkaboni, Davood Ebrahimi Bagha
A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the -compactification of a semitopological semigroup . The -compactification of a semitopological semigroup , denoted by , is the collection of all ultrafilters near that forms a compact
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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation J. Funct. Spaces (IF 1.9) Pub Date : 2023-7-7 Axiu Shu, Bo Du
In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system. Different from the previously reported research results, by utilizing the properties of neutral operators and a special variable substitution, we transform a high-order neutral
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A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras J. Funct. Spaces (IF 1.9) Pub Date : 2023-7-1 G. Muhiuddin, Nabilah Abughazalah, A. Mahboob, M. E. Elnair, Abdullah G. Alotaibi
In this paper, we propose the concept of -fuzzy p-ideals in “-algebras.” We show that “-fuzzy p-ideals” and “-fuzzy -ideals” are “-fuzzy -ideals.” However, the converse is not true, then presented examples. For a BCI-algebra , it has been shown that every -fuzzy p-ideal of is an -fuzzy ideals of but not conversely, and then, an example is given. Furthermore in , a connection between -fuzzy p-ideals
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Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping J. Funct. Spaces (IF 1.9) Pub Date : 2023-6-22 Haiyan Li, Baowei Feng
This paper concerns a linear porous thermoelastic system, where the heat conduction is given by Cattaneo’s law. By using the theory of the semigroup of the linear operator, the well-posedness is proven. By constructing some suitable multipliers, we establish exponential and polynomial decay rates of the system depending on a stability number . In addition, we remove the assumption that the constant
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A Study on the New Class of Inequalities of Midpoint-Type and Trapezoidal-Type Based on Twice Differentiable Functions with Conformable Operators J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-30 Hasan Kara, Hüseyin Budak, Sina Etemad, Shahram Rezapour, Hijaz Ahmad, Mohammed K. A. Kaabar
This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid-type and midpoint-type inequalities via convex functions in the context of the conformable fractional integrals. New inequalities are obtained by taking advantage of the convexity property, power mean inequality, and Hölder’s
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Unique Common Fixed Points for Occasionally Weakly Biased Maps of Type in -Metric-Like Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-30 Hakima Bouhadjera, Hadeel Z. Alzumi, Wafa Shammakh, Saeed M. Ali, Mohammed S. Abdo
We start this work by demonstrating the existence of unique common fixed points for two pairs of occasionally weakly biased maps of type in a -metric-like space, and we end it by producing two illustrative examples in order to support and show that our results are meaningful.
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Sehgal-Guseman-Type Fixed Point Theorems in Rectangular -Metric Spaces and Solvability of Nonlinear Integral Equation J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-26 Hongyan Guan, Chen Lang, Yan Hao
Firstly, the concept of a new triangular -orbital admissible condition is introduced, and two fixed point theorems for Sehgal-Guseman-type mappings are investigated in the framework of rectangular -metric spaces. Secondly, some examples are presented to illustrate the availability of our results. At the same time, we furnished the existence and uniqueness of solution of an integral equation.
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Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-24 Jian Rong Loh, Chang Phang, Abdulnasir Isah
The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in . In this paper, we extend the Genocchi polynomials to the general shifted Genocchi polynomials, , which are defined for interval
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Reproducing Kernel Method with Global Derivative J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-19 Nourhane Attia, Ali Akgül, Abdon Atangana
Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In this research, we used the RKHSM to construct new numerical solutions for nonlinear ODEs with global derivative
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Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-8 Gang Lu, Wenlong Sun, Yuanfeng Jin, Qi Liu
In the paper, we introduce new -functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.
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Discussions on Proinov--Contraction Mapping on -Metric Space J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-8 Erdal Karapınar, Andreea Fulga
In the present paper, we introduce the notion of Proinov--contraction mapping and we discuss it within the most interesting abstract structure, namely, -metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.
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An Efficient and Robust Numerical Solver for Impulsive Control of Fractional Chaotic Systems J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-4 Zahra Moniri, Behrouz Parsa Moghaddam, Morteza Zamani Roudbaraki
This paper derives a computationally efficient and fast-running solver for the approximate solution of fractional differential equations with impulsive effects. In this connection, for approximating the fractional-order integral operator, a B-spline version of interpolation by corresponding equal mesh points is adopted. An illustrative example illustrates the accuracy of the new solver results as compared
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A New Version of the Generalized F-Expansion Method for the Fractional Biswas-Arshed Equation and Boussinesq Equation with the Beta-Derivative J. Funct. Spaces (IF 1.9) Pub Date : 2023-5-2 Yusuf Pandir, Yusuf Gurefe
In this article, a new version of the generalized F-expansion method is proposed enabling to obtain the exact solutions of the Biswas-Arshed equation and Boussinesq equation defined by Atangana’s beta-derivative. First, the new version generalized F-expansion method is introduced, and then, the exact solutions of the nonlinear fractional differential equations expressed with Atangana’s beta-derivative
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Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-28 Mohammed S. Abdo, Sahar Ahmed Idris, Wedad Albalawi, Abdel-Haleem Abdel-Aty, Mohammed Zakarya, Emad E. Mahmoud
In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators. The ensuring of the existence of solutions is shown by Ulam-Hyer’s stability
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Solving Differential Equation via Orthogonal Branciari Metric Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-26 Senthil Kumar Prakasam, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Santosh Kumar
In this paper, we investigate an orthogonal -contraction map concept and prove the fixed-point theorem in an orthogonal complete Branciari metric space (OCBMS). We also provide illustrative examples to support our theorems. We demonstrated the existence of a uniqueness solution to the fourth-order differential equation using a more orthogonal contraction operator in OCBMS as an application of the main
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Forbidden Restrictions and the Existence of -Factor and -Factor J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-26 Jianzhang Wu, Jiabin Yuan, Haci Mehmet Baskonus, Wei Gao
The existence of factor and fractional factor in network graph in various settings has raised much attention from both mathematicians and computer scientists. It implies the availability of data transmission and network segmentation in certain special settings. In our paper, we consider -factor and -factor which are two special cases of general -factor. Specifically, we study the existence of these
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Nonlinear -Order -Point Semipositive Boundary Value Problems and Applications J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-26 Hua Su
In our paper, we consider the positive solutions of the nonlinear -order -point semipositive BVP. In this BVP equation, we allow that can change the symbol for ; by using the fixed point index theory, the existence of positive solutions and many positive solutions are obtained under the condition that is superlinear or sublinear.
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Method of Particular Solutions for Second-Order Differential Equation with Variable Coefficients via Orthogonal Polynomials J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-26 Huantian Xie, Zhaozhong Zhang, Ziwu Jiang, Jianwei Zhou
In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval. The particular solutions, satisfying the natural Dirichlet boundary conditions, are constructed with orthogonal Legendre polynomials for the variable coefficient case. Meanwhile, we investigate
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Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-25 Omar Abu Arqub, Soumia Tayebi, Shaher Momani, Marwan Abukhaled
Recently, conformable calculus has appeared in many abstract uses in mathematics and several practical applications in engineering and science. In addition, many methods and numerical algorithms have been adapted to it. In this paper, we will demonstrate, use, and construct the cubic B-spline algorithm to deal with conformable systems of differential boundary value problems concerning two points and
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Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-20 Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript. No assumptions about the compactness of a function or the Lipschitz continuity of a nonlinear function are imposed on the nonlocal item and the nonlinear function, respectively. However, we assumed that the nonlocal item is continuous, the nonlinear
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Couple Stress Sodium Alginate-Based Casson Nanofluid Analysis through Fick’s and Fourier’s Laws with Inclined Microchannel J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-19 Dolat Khan, Musawa Yahya Almusawa, Waleed Hamali, M. Ali Akbar
Casson nanofluid plays a vital role in food industries with sodium alginate nanoparticles. That is why many researchers used Casson nanofluid in their study. Due to this, the main objective of this study is to investigate the inclined microchannel flow of a Casson nanofluid based on sodium alginate (SA) under a few stresses. Because the plate at is stationary and the plate at is in motion, the fluid
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Boundedness of -Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-18 Yanlong Shi, Li Li, Zhonghua Shen
In this paper, we establish the boundedness of classical -adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by -adic singular integral operators and Lipschitz functions or by -adic singular integral operators and -central BMO functions.
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A Special Mutation Operator in the Genetic Algorithm for Fixed Point Problems J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-17 Mohammad Jalali Varnamkhasti, Masoumeh Vali
Over the past century, the fixed point theory has emerged as a very useful and efficient tool in the study of nonlinear problems. This study introduced a progressed genetic algorithm (GA) based on a particular mutation operator applying on a subdivided search space where integer label and relative coordinates are used. This algorithm eventually categorizes each fixed point as its solution in appropriate
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On Neutrosophic 2-Metric Spaces with Application J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-6 Ali Asghar, Aftab Hussain, Khaleel Ahmad, Umar Ishtiaq, Hamed Al Sulami, Nawab Hussain
Classical sets, fuzzy sets, intuitionistic fuzzy sets, and other sets are all generalized into the neutrosophic sets. A neutrosophic set is a mathematical approach that helps with challenges involving data that is inconsistent, indeterminate, or imprecise. The goal of this manuscript is to present the notion of neutrosophic 2-metric spaces. In this situation, we prove various fixed point theorems.
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Fixed-Point Theorems for -Interpolative Hardy-Rogers-Suzuki-Type Contraction in a Compact Quasipartial -Metric Space J. Funct. Spaces (IF 1.9) Pub Date : 2023-4-6 Santosh Kumar, Jonasi Chilongola
This paper is aimed at proving the existence and uniqueness of a common fixed point for a pair of -interpolative Hardy-Rogers-Suzuki-type contractions in the context of quasipartial -metric space. Thus, several results in literature such as Hardy and Rogers, Suzuki, and others have been generalized in this work. We also offer a demonstrative example and an application of fractional differential equations
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Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-29 Peng Jiang, Jinkai Ni, Lu Zhu
In this paper, we investigate the global well-posedness of the equilibrium diffusion model in radiation hydrodynamics. The model consists of the compressible Navier-Stokes equations coupled with radiation effect terms described by the fourth power of temperature. The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation
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Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-28 Ahmet Ocak Akdemir, Sinan Aslan, Mustafa Ali Dokuyucu, Ercan Çelik
In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the
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Analysis of Fractional Kundu-Eckhaus and Massive Thirring Equations Using a Hybridization Scheme J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-28 Muhammad Nadeem, Hanan A. Wahash
This paper deals with the study of fractional Kundu-Eckhaus equation (FKEE) and fractional massive Thirring problem (FMTP) that appear in the quantum field theory, weakly nonlinear dispersive water waves, and nonlinear optics. Since the variational iteration method involves integration, the Laplace transform involves convolution theorem in recurrence relation to derive the series solution. To avoid
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UAV Mission Path Planning Based on Reinforcement Learning in Dynamic Environment J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-28 Gui Fu, Yang Gao, Liwen Liu, Mingye Yang, Xinyu Zhu
With the rapid development of information technology, various products used in information technology are also constantly optimized. Among them, the task and path planning of UAV in the high-end robot industry has always been the focus of relevant researchers. In the high-end robot industry, in addition to the research and development of UAVs, they also continue to learn and strengthen the task and
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Data Analysis of Ceramic Material Color Matching Collection Points in Furniture Design Based on the Image Difference Prediction Model J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-28 Cheng Zhou, Yalan Li
The manufacturing process of ceramic materials and exquisite patterns is not simply artistic acts. At the same time, it condensed the excellent traditional culture of ancient China. The application of ceramic materials in modern furniture can not only enhance the taste of living room culture but also show the charm of China’s ceramic culture. Objective. To optimize the scientific data model required
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Properties of Univalence for a New General Integral Operator Defined as a Joint Extension of Two Known Integral Operators J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-27 Nicoleta Breaz
In this paper, we consider a new general integral operator, defined as a joint extension of two already known integral operators, and prove some univalence properties for this operator. Some other well-known operators are mentioned as particular cases of our general operator, and known results are outlined also as particular cases of our results.
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InSAR Phase Unwrapping Algorithm Based on Deep GAN J. Funct. Spaces (IF 1.9) Pub Date : 2023-3-27 Chenxia Wang, Pingli Sun, Zheng Li, Linlin Tang
At present, the traditional phase unwrapping algorithm is difficult to balance the accuracy and unwrapping efficiency. The traditional phase unwrapping algorithm is difficult to balance the accuracy and efficiency in the phase unwrapping experiments of simulated and measured topographic interferograms. In this paper, the phase unwrapping technology will be studied under the framework of deep learning