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.

 

Published

2011-09-01

Issue

Section

Articles

How to Cite

(1)
The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations. ANJS 2011, 14 (3), 139-143.