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

Document Type : Research Paper


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

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


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.


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