On the Convergence Result of the Fractional Pseudoparabolic Equation
In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian. By using many techniques, we obtain the result that the mild solution will converge when the fracti...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/7658301 |
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| _version_ | 1850161217537048576 |
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| author | Nguyen Van Tien Reza Saadati |
| author_facet | Nguyen Van Tien Reza Saadati |
| author_sort | Nguyen Van Tien |
| collection | DOAJ |
| description | In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian. By using many techniques, we obtain the result that the mild solution will converge when the fractional order of the Laplacian tends to 1−. The proof of convergent result relies on sharp techniques of evaluating the exponential terms, the Sobolev embeddings, and weakly singular Gronwall inequalities. |
| format | Article |
| id | doaj-art-fb69710ee42943e7ba682b187ff646d4 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fb69710ee42943e7ba682b187ff646d42025-08-20T02:22:55ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/7658301On the Convergence Result of the Fractional Pseudoparabolic EquationNguyen Van Tien0Reza Saadati1Faculty of MathSchool of MathematicsIn this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian. By using many techniques, we obtain the result that the mild solution will converge when the fractional order of the Laplacian tends to 1−. The proof of convergent result relies on sharp techniques of evaluating the exponential terms, the Sobolev embeddings, and weakly singular Gronwall inequalities.http://dx.doi.org/10.1155/2023/7658301 |
| spellingShingle | Nguyen Van Tien Reza Saadati On the Convergence Result of the Fractional Pseudoparabolic Equation Journal of Mathematics |
| title | On the Convergence Result of the Fractional Pseudoparabolic Equation |
| title_full | On the Convergence Result of the Fractional Pseudoparabolic Equation |
| title_fullStr | On the Convergence Result of the Fractional Pseudoparabolic Equation |
| title_full_unstemmed | On the Convergence Result of the Fractional Pseudoparabolic Equation |
| title_short | On the Convergence Result of the Fractional Pseudoparabolic Equation |
| title_sort | on the convergence result of the fractional pseudoparabolic equation |
| url | http://dx.doi.org/10.1155/2023/7658301 |
| work_keys_str_mv | AT nguyenvantien ontheconvergenceresultofthefractionalpseudoparabolicequation AT rezasaadati ontheconvergenceresultofthefractionalpseudoparabolicequation |