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

Published 21 Mar 2017 in math.AP | (1703.07160v2)

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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