Local Fractional Shehu Transform and its Application to Solve Linear Local
Fractional Differential Equations
Djeloul Ziane1, Rachid Belgacem2* and Ahmed Bokhari2
1Laboratory of mathematics and its applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria
2Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba
Benbouali University of Chlef, Algeria
*Corresponding Author: Rachid Belgacem, Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria.
Received:
January 20, 2023; Published: February 07, 2023
Abstract
In this paper we shall present a method for solving local fractional differential equations. This method is based on the combination of the Shehu transform and the local fractional derivative (we can call it the local fractional Shehu transform), where we have presented 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 non- differential analytical solutions. From the results obtained, it can be concluded that this suggested method is effective when applied this type of local fractional partial deferential equations.
Keywords: Local Fractional Calculus; Local Fractional Laplace Transform; Shehu Transform Method; Local Fractional Differential Equations
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