Analytic Approach for Solving System of Fractional Differential Equations

Abstract

In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.

Keywords

• caputo derivatives, sumudu transform, mittage-leffler function and asymptotically stable