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- Title
Existence and regularity results of a backward problem for fractional diffusion equations.
- Authors
Zhou, Yong; Wei He, Jia; Ahmad, Bashir; Huy Tuan, Nguyen
- Abstract
In this paper, we study a backward problem for an inhomogeneous fractional diffusion equation in a bounded domain. By applying the properties of Mittag‐Leffler functions and the method of eigenvalue expansion, we establish some results about the existence, uniqueness, and regularity of the mild solutions as well as the classical solutions of the proposed problem in a weighted Hölder continuous function space.
- Subjects
HEAT equation; CONTINUOUS functions; HOLDER spaces; CLASSICAL solutions (Mathematics); FUNCTION spaces
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 18, p6775
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5781