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Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

Numerical methods for partial differential equations, 2018-09, Vol.34 (5), p.1577-1597

2018

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Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

Mathematical methods in the applied sciences, 2021-07, Vol.44 (10), p.8472-8489

2021

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Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order

Mathematical methods in the applied sciences, 2021-05

Al‐Smadi, Mohammed

2021

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Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

Ain Shams Engineering Journal, 2018-12, Vol.9 (4), p.2517-2525

Al-Smadi, Mohammed

2018

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Explicit solutions for fractional Chaffee–Infante reaction–diffusion coupled hierarchy system with conservation laws

Mathematical methods in the applied sciences, 2023-08, Vol.46 (12), p.12777-12793

2023

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A New Approach to Solving Fuzzy Quadratic Riccati Differential Equations

INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS, 2022-03, Vol.22 (1), p.23-47

2022

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A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

Alexandria engineering journal, 2022-02, Vol.61 (2), p.1069-1077

2022

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Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions

International journal of differential equations, 2019, Vol.2019 (2019), p.1-11

2019

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Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type

Journal of Applied Mathematics, 2014-01, Vol.2014 (2014), p.893-903-398

2014

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Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

Alexandria engineering journal, 2021-10, Vol.60 (5), p.4347-4362

2021

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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method

Discrete Dynamics in Nature and Society, 2015-01, Vol.2015 (2015), p.426-437-042

2015

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Two computational approaches for solving a fractional obstacle system in Hilbert space

Advances in difference equations, 2019-02, Vol.2019 (1), p.1-17, Article 55

2019

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Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method

Fractal and fractional, 2022-05, Vol.6 (5), p.252

2022

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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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An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

Advances in difference equations, 2021-05, Vol.2021 (1), p.1-18, Article 271

2021

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Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

Advances in difference equations, 2019-03, Vol.2019 (1), p.1-15, Article 95

2019

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Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative

Alexandria engineering journal, 2020-12, Vol.59 (6), p.5111-5122

2020

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Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems

Discrete dynamics in nature and society, 2016-01, Vol.2016 (2016), p.1-12

2016

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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 investigation of a fractional model of a tumor-immune surveillance via Caputo operator

Alexandria engineering journal, 2024-01, Vol.86, p.525-536

2024

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Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

Symmetry (Basel), 2023-01, Vol.15 (2), p.361

2023

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Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

Alexandria engineering journal, 2022-03, Vol.61 (3), p.1778-1786

2022

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New chirp soliton solutions for the space-time fractional perturbed Gerdjikov–Ivanov equation with conformable derivative

Applied mathematics in science and engineering, 2024-12, Vol.32 (1)

2024

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Traveling Wave Solutions for Complex Space-Time Fractional Kundu-Eckhaus Equation

Mathematics (Basel), 2023-01, Vol.11 (2), p.404

2023

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Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

Abstract and Applied Analysis, 2012-01, Vol.2012 (2012), p.1159-1174-679

2012

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Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

Explicit solutions for fractional Chaffee–Infante reaction–diffusion coupled hierarchy system with conservation laws

A New Approach to Solving Fuzzy Quadratic Riccati Differential Equations

A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions

Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type

Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method

Two computational approaches for solving a fractional obstacle system in Hilbert space

Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method

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

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative

Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems

Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

New chirp soliton solutions for the space-time fractional perturbed Gerdjikov–Ivanov equation with conformable derivative

Traveling Wave Solutions for Complex Space-Time Fractional Kundu-Eckhaus Equation

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

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