Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function
Classical Analysis and ODEs
2016-03-14 v1
Abstract
There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equations studied. Here we develop an algorithm to solve the linear fractional differential equation composed via Jumarie fractional derivative in terms of Mittag-Leffler function; and show its conjugation with ordinary calculus. In these fractional differential equations the one parameter Mittag-Leffler function plays the role similar as exponential function used in ordinary differential equations.
Keywords
Cite
@article{arxiv.1505.06514,
title = {Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function},
author = {Uttam Ghosh and Srijan Sengupta and Susmita Sarkar and Shantanu Das},
journal= {arXiv preprint arXiv:1505.06514},
year = {2016}
}
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14 pages