On a Nonlocal Problem for a Caputo Time-Fractional Pseudoparabolic Equation
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
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Top 10%
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Abstract
In this paper, we consider a class of pseudoparabolic equations with the nonlocal condition and the Caputo derivative. Two cases of problems (1-2) will be studied, which are linear case and nonlinear case. For the first case, we establish the existence, the uniqueness, and some regularity results by using some estimates technique and Sobolev embeddings. Second, the Banach fixed-point theorem will be applied to the nonlinear case to prove the existence and the uniqueness of the mild solution.
Description
Hammouch, Zakia/0000-0001-7349-6922; Nguyen, Anh Tuan/0000-0002-8757-9742; Nguyen Huy, Tuan/0000-0002-6962-1898
Keywords
Caputo Fractional, Fractional Derivative, Nonlocal Condition, Pseudoparabolic, Semilinear Equation, Caputo fractional, Fractional derivatives and integrals, Smoothness and regularity of solutions to PDEs, nonlocal condition, mild solution, fractional derivative, Fractional partial differential equations, Semilinear parabolic equations, Ultraparabolic equations, pseudoparabolic equations, etc.
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Nguyen, Anh Tuan...et al. (2021). "On a nonlocal problem for a Caputo time-fractional pseudoparabolic equation", Mathematical Methods in the Applied Sciences, Vol. 44, No. 18, pp. 14791-14806.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
16
Source
Mathematical Methods in the Applied Sciences
Volume
44
Issue
18
Start Page
14791
End Page
14806
PlumX Metrics
Citations
CrossRef : 9
Scopus : 18
SCOPUS™ Citations
18
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Web of Science™ Citations
17
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5
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