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

被引：32

作者：

Amer, Y. A. ^{[1
]}

Mahdy, A. M. S. ^{[1
,2
]}

Youssef, E. S. M. ^{[1
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt

[2] Taif Univ, Fac Sci, Dept Math & Stat, At Taif, Saudi Arabia

来源：

CMC-COMPUTERS MATERIALS & CONTINUA | 2018年 / 54卷 / 02期

关键词：

Caputo derivative; integro-differential equations; hermite polynomials; sumudu transform; HOMOTOPY-PERTURBATION METHOD; VOLTERRA;

D O I：

10.3970/cmc.2018.054.161

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：161 / 180

页数：20

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