Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242en_US
dc.authorscopusid58944718800en_US
dc.authorscopusid23033561500en_US
dc.authorscopusid57942627900en_US
dc.authorscopusid35303422100en_US
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020en_US
dc.contributor.authorBensassa, Kamel
dc.contributor.authorDahmani, Zoubir
dc.contributor.authorRakah, Mahdi
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2024-08-23T16:07:03Z
dc.date.available2024-08-23T16:07:03Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we study a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo fractional derivatives. Under flexible/fixed end-conditions, two main theorems on the existence and uniqueness of solutions are proved by using two fixed point theorems. Some examples are discussed to illustrate the applications of the existence and uniqueness of solution results. Another main result on the Ulam-Hyers stability of solutions for the introduced system is also discussed. Some examples of stability are discussed. New travelling wave solutions are obtained for another conformable coupled system of beam type that has a connection with the first considered system. A conclusion follows at the end.en_US
dc.description.sponsorshipDuzce Universityen_US
dc.description.sponsorshipThe authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions. Thanks to Professor M. Benbachir for his proposition regarding the subject of Fractional Differential Equations of you.en_US
dc.identifier.doi10.1007/s13324-024-00890-6
dc.identifier.issn1664-2368
dc.identifier.issn1664-235X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85188119740en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s13324-024-00890-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14453
dc.identifier.volume14en_US
dc.identifier.wosWOS:001186815100001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAnalysis and Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExistence of solutionen_US
dc.subjectBeam deflectionen_US
dc.subjectCaputo derivativeen_US
dc.subjectFractional differential equationen_US
dc.subjectCoupled systemen_US
dc.subjectFixed pointen_US
dc.subjectTravelling waveen_US
dc.subjectUlam-Hyers stabilityen_US
dc.subjectPositive Solutionsen_US
dc.subject4th-Orderen_US
dc.subjectUniquenessen_US
dc.subjectEvolutionen_US
dc.titleBeam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling wavesen_US
dc.typeArticleen_US

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