An Efficient Numerical Algorithm for Solving Fractional Higher-Order Nonlinear Integrodifferential Equations

Muhammed I. Syam; Qasem M. Al-Mdallal; M. Naim Anwar

doi:10.1155/2015/616438

An Efficient Numerical Algorithm for Solving Fractional Higher-Order Nonlinear Integrodifferential Equations

Department of Mathematical Sciences

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5 Citations (Scopus)

Abstract

This paper is devoted to both theoretical and numerical study of boundary value problems for higher-order nonlinear fractional integrodifferential equations. Existence and uniqueness results for the considered problem are provided and proved. The numerical method of solution for the problem is based on a conjugate collocation and spline approach combined with shooting method. Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.

Original language	English
Article number	616438
Journal	Abstract and Applied Analysis
Volume	2015
DOIs	https://doi.org/10.1155/2015/616438
Publication status	Published - 2015

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "An Efficient Numerical Algorithm for Solving Fractional Higher-Order Nonlinear Integrodifferential Equations",

abstract = "This paper is devoted to both theoretical and numerical study of boundary value problems for higher-order nonlinear fractional integrodifferential equations. Existence and uniqueness results for the considered problem are provided and proved. The numerical method of solution for the problem is based on a conjugate collocation and spline approach combined with shooting method. Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.",

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AU - Anwar, M. Naim

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AB - This paper is devoted to both theoretical and numerical study of boundary value problems for higher-order nonlinear fractional integrodifferential equations. Existence and uniqueness results for the considered problem are provided and proved. The numerical method of solution for the problem is based on a conjugate collocation and spline approach combined with shooting method. Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.

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An Efficient Numerical Algorithm for Solving Fractional Higher-Order Nonlinear Integrodifferential Equations

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