Analytic Approach for Solving System of Fractional Differential Equations

Nabaa N Hasan; Zainab John

doi:10.23851/mjs.v32i1.929

Authors

Nabaa N Hasan Department of Mathematics, College of Science, Mustansiriyah University.
Zainab John Department of Mathematics, College of Science, Mustansiriyah University.

DOI:

https://doi.org/10.23851/mjs.v32i1.929

Keywords:

Caputo derivatives, Sumudu transform, Mittage-Leffler function and asymptotically stable

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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