Numerical methods for solving nonlinear fractional integro-differential equations

Kamel Al-Khaled; Marwan Alquran; Amal Al-Saidi; Gaston N'Guerekata; Joydev Chattopadhyay

Numerical methods for solving nonlinear fractional integro-differential equations

Kamel Al-Khaled, Marwan Alquran, Amal Al-Saidi, Gaston N'Guerekata, Joydev Chattopadhyay^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.

Original language	English
Pages (from-to)	647-657
Number of pages	11
Journal	Nonlinear Studies
Volume	22
Issue number	4
Publication status	Published - 2015

Keywords

Adomian decomposition
Approximate solutions
Fractional integro-differential equation
Legendre approximation

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

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title = "Numerical methods for solving nonlinear fractional integro-differential equations",

abstract = "In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.",

keywords = "Adomian decomposition, Approximate solutions, Fractional integro-differential equation, Legendre approximation",

author = "Kamel Al-Khaled and Marwan Alquran and Amal Al-Saidi and Gaston N'Guerekata and Joydev Chattopadhyay",

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AU - Al-Khaled, Kamel

AU - Alquran, Marwan

AU - Al-Saidi, Amal

AU - N'Guerekata, Gaston

AU - Chattopadhyay, Joydev

N1 - Publisher Copyright: © CSP - Cambridge, UK; I&S - Florida, USA, 2015.

PY - 2015

Y1 - 2015

N2 - In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.

AB - In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.

KW - Adomian decomposition

KW - Approximate solutions

KW - Fractional integro-differential equation

KW - Legendre approximation

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JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 4

ER -

Numerical methods for solving nonlinear fractional integro-differential equations

Abstract

Keywords

ASJC Scopus subject areas

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