Fractional Differential Equation and Its Solution as The Generalization of Ordinary Differential Equation
Endang Rusyaman, Kankan Parmikanti
Department of Mathematics Universitas Padjadjaran, Bandung, Indonesia
Abstract
Fractional differential equation is an ordinary differential equation in which the order is fractional number. It can be said that fractional differential equation is a generalization of an ordinary differential equation where the order is natural number. In this paper, a fractional differential equation with the order α and β, where α and β are rational numbers, is introduced. Solution of this differential equation is found by using Laplace transformation and presented in the form the Mittag-Leffler function. Graph of solutions function are then described by using the Matlab software.
Keywords: Differential equations, Fractional order, Laplace Transform, Mittag-Leffler
Topic: Applied Mathematics