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arxiv: 1703.07160 · v2 · pith:3EP7WNHRnew · submitted 2017-03-21 · 🧮 math.AP

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

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keywords diffusionfractionalinitial-boundaryvalueattachedboundarycaputocoeffcients
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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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