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

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...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.176-184
Main Authors: Syam, Muhammed I., Anwar, M. Naim, al-Mdallal, Q. M.
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Boundary value problems
Composite materials
Differential equations, Nonlinear
Mathematical models
Mathematical research
Numerical analysis
Studies
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/616438