Construction of Non-homogeneous Solution to Fractional Differential Equations using Laplace Transform Method
Kalu, Uchenna *
Department of Mathematics, Michael Okpara University of Agriculture, Umudike, P.M.B 7267, Umuahia, Abia State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This study focuses on fractional differential equations that incorporate Caputo and Mittag-Leffler non-homogeneous fractional differential equations. Utilizing the Laplace transform technique, we formulated a non-homogeneous fractional differential equation and derived an explicit solution expressed in terms of Mittag-Leffler and Caputo functions.
Keywords: Fractional differential equation, mittag-leffler function, riemann-liouville fractional equations, caputo derivative, laplace transforms