Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method

TL;DR

This paper introduces a conformable fractional differential transform method to solve conformable fractional differential equations, extending classical calculus tools to fractional derivatives based on a new derivative definition.

Contribution

It develops a novel conformable fractional differential transform method and demonstrates its application to solving conformable fractional differential equations.

Findings

Effective solution technique for conformable fractional differential equations

Extension of classical calculus tools to fractional derivatives

Potential for broader applications in fractional calculus

Abstract

Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in [2]. In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.