Solution of conformable fractional ordinary differential equations via differential transform method

被引：107

作者：

Unal, Emrah ^{[1
]}

Gokdogan, Ahmet ^{[2
]}

机构：

[1] Artvin Coruh Univ, Dept Elementary Educ, TR-08100 Artvin, Turkey

[2] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey

来源：

OPTIK | 2017年 / 128卷

关键词：

Conformable fractional derivative; Fractional power series; Conformable fractional differential transform method; Conformable fractional ordinary differential equations; BOUNDARY-VALUE-PROBLEMS; SOLVING SYSTEMS;

D O I：

10.1016/j.ijleo.2016.10.031

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：264 / 273

页数：10

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