Computation and Modeling for Fractional Order Systems

6: Nonlinear fractional integro-differential equations by using the homotopy perturbation method

Kasimala Narasimha Rao; S. Chakraverty    Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

Abstract

In this study, we examine the solutions to fractional Volterra integro-differential equations, fractional Fredholm integro-differential equations, and fractional Volterra–Fredholm integro-differential equations. We study the approximate solution using a semi-analytical method. For this, we apply the homotopy perturbation method. Various examples show that the applied approach is useful not only for finding approximate solutions but also for finding exact solutions to some problems.

Keywords

Caputo fractional derivatives; ...