The Solution of Two-Dimensional Time-Fractional Order Reaction-Diffusion Model by Using the Natural Transform Approach

Fatma Ahmed; Muna Mansour; Mahmoud  El-Horbaty

doi:10.54361/ajmas.269613

The Solution of Two-Dimensional Time-Fractional Order Reaction-Diffusion Model by Using the Natural Transform Approach

Authors

Fatma Ahmed Department of Mathematics, Faculty of Sciences -Alajelat, University of Zawia, Alajelat, Libya https://orcid.org/0000-0001-7486-9401
Muna Mansour A lecturer, Department of Mathematics, Faculty of Sciences -Alajelat, University of Zawia, Alajelat, Libya https://orcid.org/0009-0009-3263-0393
Mahmoud El-Horbaty Professor, Department of Mathematics, Faculty of Sciences, Zagazig University, Zagazig, Egypt https://orcid.org/0009-0003-3193-2193

DOI:

https://doi.org/10.54361/ajmas.269613

Keywords:

Natural Transform, Adomian polynomials, Reaction-diffusion equation, Caputo derivative

Abstract

In this article, the method of Natural transform is coupled with Adomian’s polynomials and employed to successfully solve the two-dimensional time-fractional order Fisher equation in Caputo’s sense, which is well known for modeling reaction-diffusion problems. The reliability and proficiency of the method are presented using tables and illustrations for arbitrary values of the fractional order. Indeed, the results have proved the effectiveness of the method in solving multi-dimensional fractional order differential equations.

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Published

2026-06-11

How to Cite

Fatma Ahmed, Mansour M, El-Horbaty M. The Solution of Two-Dimensional Time-Fractional Order Reaction-Diffusion Model by Using the Natural Transform Approach. Alq J Med App Sci [Internet]. 2026 Jun. 11 [cited 2026 Jun. 13];:1540-7. Available from: https://journal.utripoli.edu.ly/index.php/Alqalam/article/view/1646