Application of Elzaki Transform Method on Some Fractional Differential Equations

Abstract

In the paper, we begin by introducing the origin of fractional calculus and the consequent application of the Elzaki transform on fractional derivatives. The Elzaki transformation may be used to solve mathematical problems without resorting to a new frequency domain. Once we establish this connection firmly in the general setting, we turn our attention to the application of the Elzaki transform method to some non-homogeneous fractional, ordinary differential equations. Ultimately, we acquire the graphical solution of the problem by using Matlab 2013a, developed by MathWorks

Key Words: Elzaki Transform, Fractional Differential Equation, Linear and Non-linear, Initial Value Problem, Non-homogenous