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Existence and regularity results of a backward problem for fractional diffusion equations
Journal article   Peer reviewed

Existence and regularity results of a backward problem for fractional diffusion equations

Yong Zhou, Jia Wei He, Bashir Ahmad and Nguyen Huy Tuan
Mathematical methods in the applied sciences, Vol.42(18), pp.6775-6790
12/2019
DOI: https://doi.org/10.1002/mma.5781

Abstract

backward problem existence fractional diffusion equation regularity
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.

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