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arXiv · 1703.07160

Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients

Adam Kubica·Masahiro Yamamoto
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Abstract

We discuss an initial-boundary value problem for a fractional diffusion equation with Caputo time-fractional derivative where the coefficients are dependent on spatial and time variables and the zero Dirichlet boundary condition is attached. We prove the unique existence of weak and regular solutions.

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Adam Kubica, Masahiro Yamamoto. 2017-03-21. Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients. https://doi.org/10.1515/fca-2018-0018

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