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A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels

  • Behrouz Parsa Moghaddam EMAIL logo and José António Tenreiro Machado
Published/Copyright: August 8, 2017

Abstract

A new computational approach for approximating of variable-order fractional derivatives is proposed. The technique is based on piecewise cubic spline interpolation. The method is extended to a class of nonlinear variable-order fractional integro-differential equation with weakly singular kernels. Illustrative examples are discussed, demonstrating the performance of the numerical scheme.

Acknowledgements

The work of 2nd author J.A.T. Machado is partially supported by Bulgarian National Science Fund (Grant DFNI-I02/9).

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Received: 2016-11-2
Revised: 2017-7-1
Published Online: 2017-8-8
Published in Print: 2017-8-28

© 2017 Diogenes Co., Sofia

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