Initial-boundary value problem for distributed order time-fractional diffusion equations
Analysis of PDEs
2017-09-21 v1
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.
Keywords
Cite
@article{arxiv.1709.06823,
title = {Initial-boundary value problem for distributed order time-fractional diffusion equations},
author = {Zhiyuan Li and Yavar Kian and Eric Soccorsi},
journal= {arXiv preprint arXiv:1709.06823},
year = {2017}
}