Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations

Authors : Djelloul ZİANE, Rachid BELGACEM, Ahmed BOKHARİ

Pages : 217-228

Doi:10.31197/atnaa.979506

View : 8 | Download : 9

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this work we focus on presenting a method for solving local fractional differential equations. This method based on the combination of the Aboodh transform with the local fractional derivative insert ignore into journalissuearticles values(we can call it local fractional Aboodh transform);, where we have provided some important results and properties. We concluded this work by providing illustrative examples, through which we focused on solving some linear local fractional differential equations in order to obtain nondifferential analytical solutions.
Keywords : local fractional calculus, local fractional Laplace transform, Aboodh transform method, local fractional differential equations