2024
DOI: 10.34104/ijmms.024.01290133
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A Novel Approach to Solving Fractional Diffusion Equations Using Fractional Beta Derivative

Abstract: This paper introduces a novel application of fractional beta derivatives in solving fractional diffusion equations with an emphasis on systems exhibiting anomalous diffusion and memory effects. The work explores the fractional beta derivative as an extension of classical fractional derivatives by incorporating a parameter β (beta) that controls the system’s memory behavior. We investigate both the analytical and numerical solutions of these equations, demonstrating the superior flexibility of fractional beta d… Show more

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