Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation.
Applying Laplace transform and Fourier transform, we establish the existence of solution in terms of Mittag-Leffler function and prove its uniqueness in weighted Sobolev space by use of Mikhlin multiplier theorem.
The estimate of solution also shows the connections between the loss of regularity and the order of fractional derivatives in space or in time.
American Psychological Association (APA)
Zhang, Kangqun. 2020. Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127298
Modern Language Association (MLA)
Zhang, Kangqun. Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space. Advances in Mathematical Physics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1127298
American Medical Association (AMA)
Zhang, Kangqun. Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127298
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127298