Fractional diffusion equation with the distributed order Caputo derivative

2017/06/17 by Kubica, Adam, Ryszewska, Katarzyna · 1 citation
#26A33 #34A08 #35K45 #35R13 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.05591

Abstract

We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator under the assumption that the weight function is only integrable.

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