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

Year 2022, Volume: 6 Issue: 2, 217 - 228, 30.06.2022

Djelloul Ziane , Rachid Belgacem , Ahmed Bokhari

https://doi.org/10.31197/atnaa.979506

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 (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

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