Search Results - "Reproducing kernel algorithm"

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations by Arqub, Omar Abu, Maayah, Banan

“…•In this analysis, by developed the reproducing kernel algorithm within the Atangana–Baleanu fractional operator, the numerical solutions of Volterra…”
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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 algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions by Abu Arqub, Omar, Al‐Smadi, Mohammed

“…Recently, many new applications in engineering and science are governed by a series of time‐fractional partial integrodifferential equations, which will lead…”
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Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates by Omar Abu Arqub, Banan Maayah

“…This paper presents iterative reproducing kernel algorithm for obtaining the numerical solutions of Bagley–Torvik and Painlevé equations of fractional order…”
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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 M-fractional integrodifferential models: theoretical existence and uniqueness results, and approximate solutions utilizing the Hilbert reproducing kernel algorithm by Abu Arqub, Omar, Mezghiche, Riyane, Maayah, Banan

“…This article proposes a new approach to solving fuzzy M-fractional integrodifferential models under strongly generalized differentiability using an innovative…”
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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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Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative by Harrouche, Nesrine, Momani, Shaher, Hasan, Shatha, Al-Smadi, Mohammed

“…This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio…”
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Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates by Abu Arqub, Omar

“…In this article, we propose and analyze an efficient computational algorithm for the numerical solutions of singular Fredholm time-fractional partial…”
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Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm by Abu Arqub, Omar

“…The aim of the present analysis is to implement a relatively recent computational algorithm, reproducing kernel Hilbert space, for obtaining the solutions of…”
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The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations by Arqub, Omar Abu

“…The aim of the present analysis is to implement a relatively recent computational method, reproducing kernel Hilbert space, for obtaining the solutions of…”
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An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space by Al-Smadi, Mohammed, Djeddi, Nadir, Momani, Shaher, Al-Omari, Shrideh, Araci, Serkan

“…Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based…”
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Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space by Youbi, Fatima, Momani, Shaher, Hasan, Shatha, Al-Smadi, Mohammed

“…The point of this paper is to analyze and investigate the analytic-approximate solutions for fractional system of Volterra integro-differential equations in…”
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Numerical simulation Of Nonlocal Caputo-Fabrizio Fuzzy Fractional Volterra Integral Equation in Hilbert Space by Harrouche, Nesrine, Al-Smadi, Mohammed, Djeddi, Nadir, Momani, Shaher

“…In this paper, we use the reproducing kernel algorithm to find approximate solutions to fractional fuzzy Volterra integrodifferential equations in the…”
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