Khalouta transform and applications to Caputo-fractional differential equations

Author:

Kumawat Nikita,Shukla Akanksha,Mishra Manvendra Narayan,Sharma Rahul,Dubey Ravi Shanker

Abstract

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.2010 Mathematics ClassificationPrimary 92B05, 92C60; Secondary 26A33.

Publisher

Frontiers Media SA

Subject

Applied Mathematics,Statistics and Probability

Reference49 articles.

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