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On a nonlocal problem for a Caputo time-fractional pseudoparabolic equation

dc.contributor.authorNguyen, Anh Tuan
dc.contributor.authorHammouch, Zakia
dc.contributor.authorKarapınar, Erdal
dc.contributor.authorTuan, Nguyen Huy
dc.contributor.authorID19184tr_TR
dc.date.accessioned2022-10-06T12:09:41Z
dc.date.available2022-10-06T12:09:41Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.description.publishedMonth12
dc.identifier.citationNguyen, 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.doi10.1002/mma.7743
dc.identifier.endpage14806en_US
dc.identifier.issn0170-4214
dc.identifier.issue18en_US
dc.identifier.startpage14791en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5807
dc.identifier.volume44en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo Fractionalen_US
dc.subjectFractional Derivativeen_US
dc.subjectNonlocal Conditionen_US
dc.subjectPseudoparabolicen_US
dc.subjectSemilinear Equationen_US
dc.titleOn a nonlocal problem for a Caputo time-fractional pseudoparabolic equationtr_TR
dc.titleOn a Nonlocal Problem for a Caputo Time-Fractional Pseudoparabolic Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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