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

Author

Syam, Muhammed I., Al-Mdallal, Qasem M., and Anwar, M. Naim

Subjects
FRACTIONAL differential equations, INTEGRO-differential equations, ALGORITHMS, NONLINEAR differential equations, BOUNDARY value problems, PROBLEM solving
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. [ABSTRACT FROM AUTHOR]

Published
2015
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