Article

Existence, Uniqueness, and Stability Analysis of the Fractional-Order Burke-Shaw Model with ABC-Fractional Derivative

Authors
Abdulwasea Alkhazzan
Department of Mathematics, Faculty of Science, Sana’a University, Sana’a, Yemen
Ibrahim. G. H. Loqman
Department of Physics, Faculty of Science, Sana’a University, Sana’a, Yemen
Sayed Murad Ali Shah
Department of Mathematics, Faculty of Science, Sana’a University, Sana’a, Yemen
Amatalraheem Alkhazzan
School of Commerce and Economics, Xidian University, Xi’an 710071, PR China
Abstract

The Burke-Shaw model (BSM), which is grounded in the Lorenz system, is essential in various areas of physics and engineering. In this paper, we investigate the application of a fractional derivative with a Mittag Leffler (M-L) type kernel to address the existence, uniqueness, and Hyers-Ulam stability (HUS) of solutions for the fractional-order BSM. We utilize the ABC-fractional derivative, developed by Atangana and Baleanu, as it offers a more adaptable approach suitable for a diverse array of real-world applications. To demonstrate the existence and uniqueness of solutions, as well as HUS, we introduce a set of necessary conditions that ensure the results presented in this study.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Existence, Uniqueness, and Stability Analysis of the Fractional-Order Burke-Shaw Model with ABC-Fractional Derivative. (2025). Sana’a University Journal of Applied Sciences and Technology, 3(2), 690-697. https://doi.org/10.59628/jast.v3i2.1470

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