Analysis shows existence and uniqueness of solutions in modified diffusion equations, highlighting Hyers–Ulam stability.
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.
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Sangi et al. (2025) studied this question.
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