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

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Liste complète des métadonnées

Cited literature [28 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01590895
Contributor : Yavar Kian <>
Submitted on : Wednesday, September 20, 2017 - 2:00:33 PM
Last modification on : Thursday, March 15, 2018 - 4:56:08 PM

File

do14.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01590895, version 1

Collections

Citation

Zhiyuan Li, Yavar Kian, Eric Soccorsi. Initial-boundary value problem for distributed order time-fractional diffusion equations. 2017. ⟨hal-01590895⟩

Share

Metrics

Record views

259

Files downloads

130