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arxiv: 1706.05591 · v3 · pith:NHXG5WGXnew · submitted 2017-06-17 · 🧮 math.AP

Fractional diffusion equation with the distributed order Caputo derivative

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keywords caputoderivativediffusiondistributedequationfractionalorderassumption
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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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