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

Ganbileg Bat-Ochir; Khongorzul Dorjgotov; Uuganbayar Zunderiya

doi:10.1007/s13540-026-00565-y

paper

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

arXiv:2405.07285 · doi:10.1007/s13540-026-00565-y

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.