### 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.

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DOI: http://dx.doi.org/10.23851/mjs.v32i1.929

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