• APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING SYSTEM OF LINEAR AND NON-LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Abstract

This paper present, a reliable algorithm for solving linear and non-linear system of fractional order ordinary differential equations. The fractional derivatives are considered in Caputo sense. The homotopy analysis method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. The method is applied to solve four systems of linear and non-linear fractional order ordinary differential equations. Numerical results shows that HAM is easy to implement and accurate when applied to solve system of equations.