Acta Scientific Computer Sciences

Review Article Volume 5 Issue 3

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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Citation

Citation: Rachid Belgacem., et al. “Local Fractional Shehu Transform and its Application to Solve Linear Local Fractional Differential Equations". Acta Scientific Computer Sciences 5.3 (2023): 37-45.

Copyright

Copyright: © 2023 Rachid Belgacem., et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




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