A New Method to Solve Fractional Differential Equations: Inverse Fractional Shehu Transform Method

被引：0

作者：

Khalouta, Ali ^{[1
]}

Kadem, Abdelouahab ^{[1
]}

机构：

[1] Ferhat Abbas Setif Univ 1, Lab Fundamental & Numer Math, Dept Math, Fac Sci, Setif 19000, Algeria

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2019年 / 14卷 / 02期

关键词：

Fractional differential equations; Riemann-Liouville fractional derivative; Caputo fractional derivative; Shehu transform; HOMOTOPY ANALYSIS METHOD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new method called the inverse fractional Shehu transform method to solve homogenous and non-homogenous linear fractional differential equations. Fractional derivatives are described in the sense of Riemann-Liouville and Caputo. Illustrative examples are given to demonstrate the validity, efficiency and applicability of the presented method. The solutions obtained by the proposed method are in complete agreement with the solutions available in the literature.

引用

页码：926 / 941

页数：16

共 21 条

[1] The Homotopy Analysis Method for Solving Some Fractional Differential Equations [J].