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The Existence of Solution of Diffusion Equation with the General Conformable Derivative
Joint Authors
Li, Shanshan
Liu, Ruiying
Zhang, Shuqin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, the general conformable fractional derivative is used in the classical diffusion equations, and the corresponding maximum principle is obtained.
By the maximum principle, this paper proves the uniqueness of the solution and the continuous dependence on source function and initial-boundary conditions of the solution.
Furthermore, by employing the variable separation method, this paper obtains some existence results and the asymptotic behavior of the classical solution.
American Psychological Association (APA)
Li, Shanshan& Zhang, Shuqin& Liu, Ruiying. 2020. The Existence of Solution of Diffusion Equation with the General Conformable Derivative. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185369
Modern Language Association (MLA)
Li, Shanshan…[et al.]. The Existence of Solution of Diffusion Equation with the General Conformable Derivative. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1185369
American Medical Association (AMA)
Li, Shanshan& Zhang, Shuqin& Liu, Ruiying. The Existence of Solution of Diffusion Equation with the General Conformable Derivative. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185369
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185369