Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958836 | Computers & Mathematics with Applications | 2017 | 13 Pages |
Abstract
In this paper, we establish a strong maximum principle for fractional diffusion equations with multiple Caputo derivatives in time, and investigate a related inverse problem of practical importance. Exploiting the solution properties and the involved multinomial Mittag-Leffler functions, we improve the weak maximum principle for the multi-term time-fractional diffusion equation to a stronger one, which is parallel to that for its single-term counterpart as expected. As a direct application, we prove the uniqueness for determining the temporal component of the source term with the help of the fractional Duhamel's principle for the multi-term case.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yikan Liu,