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

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  • Maral Sangi
  • Mohammad Esmael Samei

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.

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  • Maral Sangi & Mohammad Esmael Samei, 2025. "Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-11, September.
    • Handle: RePEc:hin:jnljam:7940338
    DOI: 10.1155/jama/7940338
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