Solving Systems of Fractional Differential Equations Using Sumudu Transform Method
Y. A. Amer
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
A. M. S. Mahdy *
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt and Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia.
E. S. M. Youssef
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper we are interested in showing the approximate analytical solutions for systems of fractional differential equations and nonlinear biochemical reaction model by using Sumudu transform method. The fractional derivatives are described in the Caputo sense. The applications related to Sumudu transform method have been developed for differential equations to the ex- tent of access to approximate analytical solutions of systems of fractional differential equations. The solutions of our model equations are calculated in the form of convergent series with easily computable components. Some examples are solved as illustrations, using symbolic computation. The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations. The method introduce a promising tool for solving many linear and nonlinear fractional differential equations.
Keywords: Caputo derivative, Sumudu transform, Predator-prey model, biochemical model