Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables

2024/05/12 by Ganbileg Bat-Ochir, Bat-Ochir, Ganbileg, Khongorzul Dorjgotov +3
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.2405.07285

arxiv created 2024/05/12 · arxiv updated 2026/07/31

Abstract

We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expressed in Fox-H and generalized Wright functions, which are commonly used in anomalous diffusion equations. Our study represents a significant advancement in our understanding of anomalous diffusion with potential applications in a wide range of fields.

Related

• Anomalous diffusion for mass transport phenomena I: Analytic solutions to time fractional diffusion
• Anisotropic solutions of the time-fractional diffusion equation in multiple dimensions
• Application of Fractional Derivative Operators to Anomalous Diffusion and Propagation Problems
• From Sturm-Liouville problems to fractional and anomalous diffusions
• Decay estimates in time for classical and anomalous diffusion