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Solving Fractional Integro-Differential Equations by Using Sumudu Transform Method and Hermite Spectral Collocation Method

Y. A. Amer1, A. M. S. Mahdy1, 2, *, E. S. M. Youssef1
1 Department of Mathematics, Faculty of Science, 44519, Zagazig University, Egypt.
2 Department of Mathematics and Statistics, Faculty of Science,Taif University, Saudi Arabia
* Corresponding Author: A. M. S. Mahdy. Email: .

Computers, Materials & Continua 2018, 54(2), 161-180. https://doi.org/10.3970/cmc.2018.054.161

Abstract

In this paper we are looking forward to finding the approximate analytical solutions for fractional integro-differential equations by using Sumudu transform method and Hermite spectral collocation method. The fractional derivatives are described in the Caputo sense. The applications related to Sumudu transform method and Hermite spectral collocation method have been developed for differential equations to the extent of access to approximate analytical solutions of fractional integro-differential equations.

Keywords

Caputo derivative, integro-differential equations, hermite polynomials, sumudu transform.

Cite This Article

Y. A. Amer, . A. M. S. Mahdy and . E. S. M. Youssef, "Solving fractional integro-differential equations by using sumudu transform method and hermite spectral collocation method," Computers, Materials & Continua, vol. 54, no.2, pp. 161–180, 2018.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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