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Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations
Joint Authors
Zhang, Huanhuan
Mu, Jia
Liu, Yang
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs).
Firstly, under the condition of weighted Hölder continuity, the existence and two estimates of classical solutions are obtained by virtue of the properties of the probability density function and the evolution operator family.
Secondly, it focuses on the continuity and an estimate of classical solutions in the sense of fractional power norm.
The results generalize some existing results on classical solutions and provide theoretical support for the application of NFDE.
American Psychological Association (APA)
Mu, Jia& Liu, Yang& Zhang, Huanhuan. 2020. Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144869
Modern Language Association (MLA)
Mu, Jia…[et al.]. Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1144869
American Medical Association (AMA)
Mu, Jia& Liu, Yang& Zhang, Huanhuan. Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144869
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144869