On a Nonlocal Problem for a Caputo Time-Fractional Pseudoparabolic Equation
| dc.contributor.author | Hammouch, Zakia | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Tuan, Nguyen Huy | |
| dc.contributor.author | Nguyen, Anh Tuan | |
| dc.date.accessioned | 2022-10-06T12:09:41Z | |
| dc.date.accessioned | 2025-09-18T13:28:04Z | |
| dc.date.available | 2022-10-06T12:09:41Z | |
| dc.date.available | 2025-09-18T13:28:04Z | |
| dc.date.issued | 2021 | |
| dc.description | Hammouch, Zakia/0000-0001-7349-6922; Nguyen, Anh Tuan/0000-0002-8757-9742; Nguyen Huy, Tuan/0000-0002-6962-1898 | en_US |
| dc.description.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. | en_US |
| dc.identifier.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. | en_US |
| dc.identifier.doi | 10.1002/mma.7743 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85113793025 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7743 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13137 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Pseudoparabolic | en_US |
| dc.subject | Semilinear Equation | en_US |
| dc.title | On a Nonlocal Problem for a Caputo Time-Fractional Pseudoparabolic Equation | en_US |
| dc.title | On a nonlocal problem for a Caputo time-fractional pseudoparabolic equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hammouch, Zakia/0000-0001-7349-6922 | |
| gdc.author.id | Nguyen, Anh Tuan/0000-0002-8757-9742 | |
| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
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| gdc.author.wosid | Nguyen, Anh Tuan/Gxf-6089-2022 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Hammouch, Zakia/D-3532-2011 | |
| gdc.author.wosid | Nguyen, Tuan/C-6183-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen, Anh Tuan; Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Binh Duong, Vietnam; [Hammouch, Zakia] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Hammouch, Zakia] Univ Moulay Ismail, Cole Normale Suprieure Mekns, Meknes, Morocco; [Hammouch, Zakia] Harran Univ, Dept Math & Sci Educ, Sanliurfa, Turkey; [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Tuan, Nguyen Huy] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 14806 | en_US |
| gdc.description.issue | 18 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 14791 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Caputo fractional | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Smoothness and regularity of solutions to PDEs | |
| gdc.oaire.keywords | nonlocal condition | |
| gdc.oaire.keywords | mild solution | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Semilinear parabolic equations | |
| gdc.oaire.keywords | Ultraparabolic equations, pseudoparabolic equations, etc. | |
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| gdc.virtual.author | Karapınar, Erdal | |
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