Analytical Solution of Non-Integer Extra-Ordinary Differential Equation Via Adomian Decomposition Method

Ahcene Merada,* and Samir Hadidb

Analytical Solution of Non-Integer Extra-Ordinary Differential Equation Via Adomian Decomposition Method

Authors :

Ahcene Merad^a,* and Samir Hadid^b

Author Address :

^aDepartement of Mathematics, Laboratory of Dynamical Systems and Control, Faculty of Sciences, Larbi Ben M’hidi University, Oum El Bouaghi, 04000, Algeria.
^b1 Department of Mathematics and Science, College of Education and Basic Science, Ajman University of Science and Technology, UAE.

*Corresponding author.

Abstract :

In the present paper, we obtain the analytical solution of the linear extraordinary fractional equations with constant coefficients by Adomian decomposition method under nonhomgeneous initial value condition, this method is a powerful method which consider the approximate solution as an infinite series usually converges to the exact solution.

Keywords :

Extraordinary Fractional differential equation, Adomian decomposition method.

DOI :

Article Info :

Received : July 10, 2015; Accepted : December 23, 2015.