Solving a class of ordinary differential equations and fractional differential equations with conformable derivative by fractional Laplace transform

被引：0

作者：

Molaei, Mohammad ^{[1
]}

Dastmalchi Saei, Farhad ^{[1
]}

Javidi, Mohammad ^{[1
,2
]}

Mahmoudi, Yaghoub ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Tabriz Branch, Tabriz, Iran

[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 07期

关键词：

Fractional Laplace transform; conformable fractional derivative; conformable fractional differential equation; Laguerre conformable fractional differential equation;

D O I：

10.55730/1300-0098.3316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the fractional Laplace transform to solve a class of second-order ordinary differential equations (ODEs), as well as some conformable fractional differential equations (CFDEs), including the Laguerre conformable fractional differential equation. Specifically, we apply the transform to convert the differential equations into first-order, linear differential equations. This is done by using the fractional Laplace transform of order alpha + beta or alpha+ beta + gamma. Also, we investigate some more results on the fractional Laplace transform, obtained by Abdeljawad.

引用

页码：3025 / 3044

页数：20

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