Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Maral Sangi and Mohammad Esmael Samei

Journal of Applied Mathematics, 2025, vol. 2025, 1-11

Abstract: This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis. Further, we present some examples to confirm our achievements.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:7940338

DOI: 10.1155/jama/7940338

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