Exact Solution of Time-Fractional Cauchy Reaction-Diffusion Equation Using Jafari Transform

Authors

  • Ahmad. A. H. Mtawal Faculty of Education Almarj, Benghazi University, Almarj

DOI:

https://doi.org/10.37376/ajhas.vi4.7492

Keywords:

Fractional Cauchy reaction-diffusion equation, Caputo fractional operator, Jafari transform, New iterative method

Abstract

Fractional calculus techniques are extensively employed in science and engineering including the new Jafari transform iterative method (NJTIM), which has not been studied by researchers using the Caputo fractional derivative. The new methodology demonstrates how two strong methods, the new iterative method and the Jafari transform method, may be combined and applied to provide exact solutions to fractional partial differential equations. Three distinct examples are also provided to demonstrate the accuracy and efficacy of my methodology

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Author Biography

Ahmad. A. H. Mtawal, Faculty of Education Almarj, Benghazi University, Almarj

Department of Mathematics, Faculty of Education Almarj, Benghazi University, Almarj, Libya

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Published

2026-01-06

How to Cite

Mtawal, A. A. H. (2026). Exact Solution of Time-Fractional Cauchy Reaction-Diffusion Equation Using Jafari Transform. Afaq Journal for Human and Applied Studies, (4), 37–55. https://doi.org/10.37376/ajhas.vi4.7492

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Articles