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arXiv · 1711.09036

Decay of solutions to parabolic-type problem with distributed order Caputo derivative

Adam Kubica·Katarzyna Ryszewska
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Abstract

We consider the decay of solution to fractional diffusion equation with the distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function contained in the definition of the distributed order Caputo derivative is just integrable. We establish the relation between behavior of weight function near zero and the decay rate of solution.

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Adam Kubica, Katarzyna Ryszewska. 2017-11-24. Decay of solutions to parabolic-type problem with distributed order Caputo derivative. https://doi.org/10.1016/j.jmaa.2018.04.067

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