New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform

نویسندگان
Dastmalchi Saei, Farhad ID 1
Javidi, Mohammad ID 2
Molaei, Mohammad ID 3
Mahmoudi, Yaghoub ID 4

1 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

3 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

4 Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran

doi
10.22034/cmde.2021.40834.1775
چکیده

In this paper, new analytical solutions for a class of conformable fractional differential equations (CFDEs) and some more results about Laplace transform introduced by Abdeljawad are investigated. The Laplace transform method is developed to get the exact solution of CFDEs. The aim of this paper is to convert the CFDEs into ordinary differential equations (ODEs), this is done by using the fractional Laplace transform of (α + β) order.

کلیدواژه‌ها
Conformable fractional differential equations, Fractional Laplace transform, Exact analytical solutions