分布阶时间分数扩散方程的初边值问题

Asymptot. Anal. Pub Date : 2017-09-20 DOI:10.3233/asy-191532

Zhi-yuan Li, Yavar Kian, É. Soccorsi

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引用次数: 34

摘要

研究具有分布阶时间分数阶导数的扩散方程的初边值问题。我们证明了这些系统的弱解的存在唯一性，以及它对初值和源项的连续依赖。此外，在适当的源项假设下，我们建立了解在时间上是解析的。

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Initial-boundary value problem for distributed order time-fractional diffusion equations

We examine initial-boundary value problems for diffusion equations with distributed order time-fractional derivatives. We prove existence and uniqueness results for the weak solution to these systems, together with its continuous dependency on initial value and source term. Moreover, under suitable assumption on the source term, we establish that the solution is analytic in time.

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来源期刊

Asymptot. Anal.

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