Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method

2016/02/04 by Emrahünal, Ahmet Gökdoğan, Gökdoğan, Ahmet
Mathematics · #34A08 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34A08

paper · pdf · doi:10.48550/arxiv.1602.05605

arxiv created 2016/02/04 · arxiv updated 2016/02/19

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.

Related

• Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations
• q-deformed conformable fractional Natural transform
• A novel approach to fractional calculus and its applications to well-known problems
• A Predictor-Corrector Algorithm in the Framework of Conformable Fractional Differential Equations
• Taylor's formula and integral inequalities for conformable fractional derivatives