Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities

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dc.authorscopusid57216616374en_US
dc.authorscopusid23033561500en_US
dc.authorscopusid57223196265en_US
dc.authorscopusid35303422100en_US
dc.contributor.authorGouari, Yazid
dc.contributor.authorDahmani, Zoubir
dc.contributor.authorBelhamiti, Meriem Mansouria
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2024-08-23T16:04:03Z
dc.date.available2024-08-23T16:04:03Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin of the time axis and it involves convergent series combined with Riemann-Liouville integrals. We prove an existence and uniqueness result for our problem. Some examples are given to illustrate the uniqueness result. The Ulam-Hyers stability for the problem is also studied. Then, thanks to some numerical techniques, that allow us to approximate the Caputo derivatives, and by using the Runge-Kutta method, we present a numerical study with some simulations to show more comprehension of the proposed examples.en_US
dc.identifier.doi10.1216/rmj.2023.53.1099
dc.identifier.endpage1116en_US
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85172812572en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1099en_US
dc.identifier.urihttps://doi.org/10.1216/rmj.2023.53.1099
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14046
dc.identifier.volume53en_US
dc.identifier.wosWOS:001071325400007en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo derivativeen_US
dc.subjectfixed pointen_US
dc.subjectRunge-Kutta methoden_US
dc.subjectUlam-Hyers stabilityen_US
dc.subjectsingular differential equationen_US
dc.subjectEquationsen_US
dc.titleUniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularitiesen_US
dc.typeArticleen_US

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