The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations

Authors

  • Ibtisam K Hanan Department of Mathematics, College of Science, Al-Nahrain University, Baghdad-Iraq

Keywords:

homotopy analysis method, fractional integro differential equations, Caputo fractional derivative

Abstract

Abstract:

In this paper we use the homotopy analysis method to solve special types of the initial value problems that consist of multi-fractional order integro differential equation in which the fractional derivative and fractional integral in them are described in the Caputo sense and Riemann-Liouville sense respectively. Numerical examples are solved by using this method. These examples shows that high accuracy, simplicity and efficiency of this method.

 

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Published

2011-09-01

Issue

Vol. 14 No. 3 (2011): September

Section

Articles

How to Cite

[1]
“The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations”, ANJS, vol. 14, no. 3, pp. 139–143, Sep. 2011, Accessed: May 02, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/849