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arXiv · 2209.01628

Solving time-fractional diffusion equations with singular source term

Yavar Kian·Eric Soccorsi
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Abstract

This article deals with time-fractional diffusion equations with time-dependent singular source term. Whenever the order of the time-fractional derivative is either multi-term, distributed or space-dependent, we prove that the system admits a unique weak solution enjoying a Duhamel representation, provided that the time-dependence of the source term is a distribution.

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Yavar Kian, Eric Soccorsi. 2022-09-04. Solving time-fractional diffusion equations with singular source term. https://arxiv.org/abs/2209.01628

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