Iranian Journal of Numerical Analysis and Optimization

Iranian Journal of Numerical Analysis and Optimization

Local fractional Khalouta transform: Properties and applications

Document Type : Research Article

Author
Laboratory of Fundamental Mathematics and Numerical Department of Mathematics, Faculty of Sciences, Ferhat Abbas Sétif University 1, 19000 Sétif, Algeria.
Abstract
In the current paper, we propose a new hybrid method for solving local fractional differential equations. The proposed method is based on the coupling of the Khalouta transform with the local fractional derivative and we call it local fractional Khalouta transform method. Also, we provide important results and properties of this method. For justification and verification of the present method, some applications of linear local fractional differential equations are presented. The results of the solved examples show the effectiveness of this method. Moreover, the present method can be applied to handle the solutions of various problems with local fractional derivatives.
Keywords
Subjects

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