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

Complexity (New York, N.Y.), 2017-01, Vol.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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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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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, p.1-15

2014

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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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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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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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A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves

Alexandria engineering journal, 2022-07, Vol.61 (7), p.5753-5769

2022

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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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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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Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

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

2020

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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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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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Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

Alexandria engineering journal, 2022-12, Vol.61 (12), p.10539-10550

2022

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Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates

Journal of applied mathematics & computing, 2019-02, Vol.59 (1-2), p.227-243

Abu Arqub, Omar

2019

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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

Mathematics (Basel), 2020-06, Vol.8 (6), p.923

2020

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The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

Mathematical methods in the applied sciences, 2016-10, Vol.39 (15), p.4549-4562

Arqub, Omar Abu

2016

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The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

Alexandria engineering journal, 2022-02, Vol.61 (2), p.963-974

2022

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A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

Abstract and Applied Analysis, 2013-01, Vol.2013, p.1-10

2013

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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

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

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

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

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

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

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

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

A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves

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

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

Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

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

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

Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates

A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method

The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

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