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- Title
On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation.
- Authors
Nguyen, Anh Tuan; Hammouch, Zakia; Karapinar, Erdal; Tuan, Nguyen Huy
- 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.
- Subjects
ESTIMATION theory; EQUATIONS
- Publication
Mathematical Methods in the Applied Sciences, 2021, Vol 44, Issue 18, p14791
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.7743