On a nonlocal problem for a Caputo time-fractional pseudoparabolic equation
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Date
2021
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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.
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Keywords
Caputo Fractional, Fractional Derivative, Nonlocal Condition, Pseudoparabolic, Semilinear Equation
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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.
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Source
Mathematical Methods in the Applied Sciences
Volume
44
Issue
18
Start Page
14791
End Page
14806