Search Results - "Abu Arqub, Omar"

Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm by Abu Arqub, Omar

“…Purpose The purpose of this study is to introduce the reproducing kernel algorithm for treating classes of time-fractional partial differential equations…”
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Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates by Abu Arqub, Omar, Odibat, Zaid, Al-Smadi, Mohammed

“…This paper introduces an efficient numerical algorithm for solving a significant class of linear and nonlinear time-fractional partial differential equation…”
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Optimization Solution of Troesch's and Bratu's Problems of Ordinary Type Using Novel Continuous Genetic Algorithm by Abo-Hammour, Zaer, Abu Arqub, Omar, Momani, Shaher M., Shawagfeh, Nabil

“…A new kind of optimization technique, namely, continuous genetic algorithm, is presented in this paper for numerically approximating the solutions of Troesch’s…”
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Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations by Alshammari, Mohammad, Al-Smadi, Mohammed, Arqub, Omar Abu, Hashim, Ishak, Alias, Mohd Almie

“…The mathematical structure of some natural phenomena of nonlinear physical and engineering systems can be described by a combination of fuzzy differential…”
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Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach by Djennadi, Smina, Shawagfeh, Nabil, Arqub, Omar Abu

“…In the present work, an inverse problem for the heat equation in two dimensional space with Robin boundary condition that involving a new fractional…”
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A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves by Arqub, Omar Abu, Al-Smadi, Mohammed, Almusawa, Hassan, Baleanu, Dumitru, Hayat, Tasawar, Alhodaly, Mohammed, Osman, M.S.

“…The purpose of this research is to study, investigate, and analyze a class of temporal time-FNEE models with time-FCDs that are indispensable in numerous…”
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Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations by Abu Arqub, Omar

“…In this article, we propose the reproducing kernel Hilbert space method to obtain the exact and the numerical solutions of fuzzy Fredholm–Volterra…”
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Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation by Arqub, Omar Abu, Osman, Mohamed S., Park, Choonkil, Lee, Jung Rye, Alsulami, Hamed, Alhodaly, Mohammed

“…It is notable that, the nonlocal reaction-diffusion equation carries math and computational physics to the core of extremely dynamic multidisciplinary studies…”
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A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method by Arqub, Omar Abu, Osman, Mohamed S., Abdel-Aty, Abdel-Haleem, Mohamed, Abdel-Baset A., Momani, Shaher

“…This paper deals with the numerical solutions and convergence analysis for general singular Lane–Emden type models of fractional order, with appropriate…”
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The B-spline collocation method for solving conformable initial value problems of non-singular and singular types by Rabah, Ahlem Ben, Momani, Shaher, Arqub, Omar Abu

“…In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical…”
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Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions by Abu Arqub, Omar

“…Latterly, many problems arising in different fields of science and engineering can be reduced, by applying some appropriate discretization, to a series of…”
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A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method by Abu Arqub, Omar, El-Ajou, Ahmad, Bataineh, A. Sami, Hashim, Ishak

“…A new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied. The…”
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New diverse types of soliton solutions to the Radhakrishnan-Kundu-Lakshmanan equation by Zahran, Emad H. M., Arqub, Omar Abu, Bekir, Ahmet, Abukhaled, Marwan

“…The main purpose of this study was to produce abundant new types of soliton solutions for the Radhakrishnan-Kundu-Lakshmanan equation that represents unstable…”
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Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates by Al-Smadi, Mohammed, Arqub, Omar Abu

“…Numerical modeling of partial integrodifferential equations of fractional order shows interesting properties in various aspects of science, which means…”
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Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space by Abu Arqub, Omar

“…The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of…”
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Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions by Arqub, Omar Abu, Al-Smadi, Mohammed

“…The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called fuzzy conformable. To this end, we discussed fuzzy conformable…”
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Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm by Arqub, Omar Abu, Abo-Hammour, Zaer

“…In this paper, continuous genetic algorithm is introduced as an efficient solver for systems of second-order boundary value problems where smooth solution…”
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Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations by Abu Arqub, Omar, Singh, Jagdev, Alhodaly, Mohammed

“…Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely significant topic in electric circuits, signal processing,…”
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Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method by Abu Arqub, Omar

“…Purpose The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread…”
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Multiple Solutions of Nonlinear Boundary Value Problems of Fractional Order: A New Analytic Iterative Technique by Omar Abu Arqub, Ahmad El-Ajou, Zeyad Al Zhour, Shaher Momani

“…The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of…”
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