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arxiv: 2405.07285 · v1 · pith:XT4HVMOUnew · submitted 2024-05-12 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords anomalousdiffusionequationssolutionstimecoefficientsspacevariables
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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.

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