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Extension of Lower and Upper Solutions Approach for Generalized Nonlinear Fractional Boundary Value Problems

dc.authorscopusid 58403377900
dc.authorscopusid 56328644700
dc.authorscopusid 57213314244
dc.authorscopusid 6603328862
dc.contributor.author Batool, A.
dc.contributor.author Talib, I.
dc.contributor.author Riaz, M.B.
dc.contributor.author Tunç, C.
dc.date.accessioned 2025-05-10T16:54:15Z
dc.date.available 2025-05-10T16:54:15Z
dc.date.issued 2022
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Batool A., Department of Mathematics, University of Management and Technology, Lahore, Pakistan; Talib I., Nonlinear Analysis Group (NAG), Mathematics Department, Virtual University of Pakistan, Lahore, Pakistan; Riaz M.B., Faculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of Technology, Lodz, Poland, Institute for Groundwater Studies, University of the Free State, South Africa; Tunç C., Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, 65080, Turkey en_US
dc.description.abstract Our main concern in this study is to present the generalized results to investigate the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. The framework of the presented results relies on the lower and upper solutions approach which allows us to ensure the existence of solutions in a sector defined by well-ordered coupled lower and upper solutions. It is worth mentioning that the presented results unify the existence criteria of certain problems which were treated on a case-by-case basis in the literature. Two examples are supplied to support the results. © 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain. en_US
dc.identifier.doi 10.1080/25765299.2022.2112646
dc.identifier.endpage 256 en_US
dc.identifier.issn 2576-5299
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85136517057
dc.identifier.scopusquality Q2
dc.identifier.startpage 249 en_US
dc.identifier.uri https://doi.org/10.1080/25765299.2022.2112646
dc.identifier.uri https://hdl.handle.net/20.500.14720/3064
dc.identifier.volume 29 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Taylor and Francis Ltd. en_US
dc.relation.ispartof Arab Journal of Basic and Applied Sciences en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Antiperiodic Boundary Conditions en_US
dc.subject Caputo Fractional Derivative en_US
dc.subject Fractional Differential Equations en_US
dc.subject Nonlinear Boundary Conditions en_US
dc.subject Periodic Boundary Conditions en_US
dc.subject Upper And Lower Solutions en_US
dc.title Extension of Lower and Upper Solutions Approach for Generalized Nonlinear Fractional Boundary Value Problems en_US
dc.type Article en_US

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