Numerical Solution of Ordinary Differential Equations of Fractional Order Using Variable Step Size Method

Fadhel S Fadhel; Hayder H Khayoon

Numerical Solution of Ordinary Differential Equations of Fractional Order Using Variable Step Size Method

Authors

Fadhel S Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.
Hayder H Khayoon Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham, University of Bagdad, Baghdad-Iraq.

Keywords:

Generalized Taylor’s formula, fractional Euler’s method, fractional differential equation, Caputo fractional derivative

Abstract

The main objective from this paper is to introduce and derive three methods depending on fractional Euler’s method and improve the results modifying the approach by using variable step size method.