A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves

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dc.authoridSarikaya, Mehmet Zeki/0000-0002-6165-9242
dc.authoridDAHMANI, Zoubir/0000-0003-4659-0723;
dc.contributor.authorLamamri, Abdelkader
dc.contributor.authorGouari, Yazid
dc.contributor.authorDahmani, Zoubir
dc.contributor.authorRakah, Mahdi
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2025-10-11T20:47:40Z
dc.date.available2025-10-11T20:47:40Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this work, we begin by introducing a new notion of coupled closed fractional boundary conditions to study a class of nonlinear sequential systems of Caputo fractional differential equations. The existence and uniqueness of solutions for the class of systems is proved by applying Banach contraction principle. The existence of at least one solution is then accomplished by applying Schauder fixed point theorem. The Ulam Hyers stability, with a limiting-case example, is also discussed. In a second part of our work, we use the tanh method to obtain a new travelling wave solution for the coupled system of Burgers using time and space Khalil derivatives. By bridging these two aspects, we aim to present an understanding of the system's behaviour.en_US
dc.identifier.doi10.3846/mma.2025.20920
dc.identifier.endpage253en_US
dc.identifier.issn1392-6292
dc.identifier.issn1648-3510
dc.identifier.issue2en_US
dc.identifier.startpage233en_US
dc.identifier.urihttps://doi.org/10.3846/mma.2025.20920
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21519
dc.identifier.volume30en_US
dc.identifier.wosWOS:001472481100004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherVilnius Gediminas Tech Univen_US
dc.relation.ispartofMathematical Modellingand Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectCaputo sequential derivativeen_US
dc.subjectcoupled system of FDEsen_US
dc.subjectexistence and uniquenessen_US
dc.subjectUlam-Hyers stabilityen_US
dc.subjectfixed point theoremen_US
dc.subjecttravelling waveen_US
dc.subjectKhalil derivativeen_US
dc.titleA class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling wavesen_US
dc.typeArticleen_US

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