Existence and regularity results of a backward problem for fractional diffusion equations. (English) Zbl 1435.35413
Summary: 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.
MSC:
| 35R11 | Fractional partial differential equations |
| 35B65 | Smoothness and regularity of solutions to PDEs |
References:
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