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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

International journal of numerical methods for heat & fluid flow, 2018-04, Vol.28 (4), p.828-856

Abu Arqub, Omar

2018

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THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH

Fractals (Singapore), 2020-12, Vol.28 (8), p.2040010

2020

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Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations

International journal of modern physics. C, Computational physics, physical computation, 2023-06, Vol.34 (6)

2023

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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

Nonlinear dynamics, 2018-11, Vol.94 (3), p.1819-1834

2018

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Fractional delay integrodifferential equations of nonsingular kernels: Existence, uniqueness, and numerical solutions using Galerkin algorithm based on shifted Legendre polynomials

International journal of modern physics. C, Computational physics, physical computation, 2023-04, Vol.34 (4)

2023

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Fractional Conformable Stochastic Integrodifferential Equations: Existence, Uniqueness, and Numerical Simulations Utilizing the Shifted Legendre Spectral Collocation Algorithm

Mathematical problems in engineering, 2022-11, Vol.2022, p.1-21

2022

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Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

Neural computing & applications, 2017-07, Vol.28 (7), p.1591-1610

Abu Arqub, Omar

2017

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Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

Fundamenta informaticae, 2019-01, Vol.166 (2), p.87-110

Abu Arqub, Omar

2019

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A spline construction scheme for numerically solving fractional Bagley–Torvik and Painlevé models correlating initial value problems concerning the Caputo–Fabrizio derivative approach

International journal of modern physics. C, Computational physics, physical computation, 2023-09, Vol.34 (9)

2023

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Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

Fundamenta informaticae, 2019-01, Vol.166 (2), p.111-137

Abu Arqub, Omar

2019

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Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews

Complexity (New York, N.Y.), 2017-01, Vol.2017 (2017), p.1-13

2017

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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

Computers & mathematics with applications (1987), 2017-03, Vol.73 (6), p.1243-1261

Abu Arqub, Omar

2017

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Optimization Solution of Troesch's and Bratu's Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

Discrete Dynamics in Nature and Society, 2014-01, Vol.2014 (2014), p.52-66-105

2014

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Fractional approximate solutions of 2D reaction–diffusion Brusselator model using the novel Laplace-optimized decomposition approach

International journal of modern physics. C, Computational physics, physical computation, 2023-07, Vol.34 (7)

2023

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Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

Applied mathematics and computation, 2019-02, Vol.342, p.280-294

2019

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Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

Numerical methods for partial differential equations, 2018-09, Vol.34 (5), p.1759-1780

Abu Arqub, Omar

2018

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Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

Soft computing (Berlin, Germany), 2020-08, Vol.24 (16), p.12501-12522

2020

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Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm

Information sciences, 2014-09, Vol.279, p.396-415

2014

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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

Mathematical methods in the applied sciences, 2023-05, Vol.46 (7), p.7807-7834

2023

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Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

International journal of numerical methods for heat & fluid flow, 2020-10, Vol.30 (11), p.4711-4733

Abu Arqub, Omar

2020

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Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

Chaos, solitons and fractals, 2018-12, Vol.117, p.117-124

2018

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Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

Calcolo, 2018-09, Vol.55 (3), p.1-28, Article 31

Abu Arqub, Omar

2018

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Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

Symmetry (Basel), 2020-04, Vol.12 (4), p.572

2020

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Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach

Alexandria engineering journal, 2020-08, Vol.59 (4), p.2261-2268

2020

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Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

Chaos, solitons and fractals, 2019-09, Vol.126, p.394-402

2019

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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

THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH

Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations

Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates

Fractional delay integrodifferential equations of nonsingular kernels: Existence, uniqueness, and numerical solutions using Galerkin algorithm based on shifted Legendre polynomials

Fractional Conformable Stochastic Integrodifferential Equations: Existence, Uniqueness, and Numerical Simulations Utilizing the Shifted Legendre Spectral Collocation Algorithm

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

A spline construction scheme for numerically solving fractional Bagley–Torvik and Painlevé models correlating initial value problems concerning the Caputo–Fabrizio derivative approach

Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews

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

Optimization Solution of Troesch's and Bratu's Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

Fractional approximate solutions of 2D reaction–diffusion Brusselator model using the novel Laplace-optimized decomposition approach

Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm

Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

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