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On dynamic systems in the frame of singular function dependent kernel fractional derivatives

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dc.authoridSene, Ndolane/0000-0002-8664-6464
dc.authoridAbdeljawad, Thabet/0000-0002-8889-3768
dc.authorscopusid6508051762
dc.authorscopusid55908528800
dc.authorscopusid15622742900
dc.authorscopusid56730838200
dc.authorwosidJarad, Fahd/T-8333-2018
dc.authorwosidSene, Ndolane/E-6809-2019
dc.authorwosidAbdeljawad, Thabet/T-8298-2018
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorMadjidi, Fadila
dc.contributor.authorJarad, Fahd
dc.contributor.authorJarad, Fahd
dc.contributor.authorSene, Ndolane
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-04-29T12:21:57Z
dc.date.available2024-04-29T12:21:57Z
dc.date.issued2019
dc.departmentÇankaya Universityen_US
dc.department-temp[Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Madjidi, Fadila] Univ Mohamed Boudiaf, Dept Math, PB 166, Msila 28000, Algeria; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Sene, Ndolane] Univ Cheikh Anta Diop Dakar, Fac Sci Econom & Gest, Dept Math Decis, Lab Lmdan, BP 5683, Dakar, Senegalen_US
dc.descriptionSene, Ndolane/0000-0002-8664-6464; Abdeljawad, Thabet/0000-0002-8889-3768en_US
dc.description.abstractIn this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system.en_US
dc.description.publishedMonth10
dc.description.sponsorshipPrince Sultan University [RG-DES2017-01-17]en_US
dc.description.sponsorshipThe first author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES2017-01-17.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationAbdeljawad, Thabet;...et.al. (2019). "On dynamic systems in the frame of singular function dependent kernel fractional derivatives", Mathematics, Vol.7, No.10.en_US
dc.identifier.doi10.3390/math7100946
dc.identifier.issn2227-7390
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85073760984
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.3390/math7100946
dc.identifier.volume7en_US
dc.identifier.wosWOS:000498404700075
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Fractional Operatorsen_US
dc.subjectMittag-Leffler Bounden_US
dc.subjectMittag-Leffler Stabilityen_US
dc.titleOn dynamic systems in the frame of singular function dependent kernel fractional derivativestr_TR
dc.titleOn Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationab09a09b-0017-4ffe-a8fe-b9b0499b2c01
relation.isAuthorOfPublicationc818455d-5734-4abd-8d29-9383dae37406
relation.isAuthorOfPublication.latestForDiscoveryab09a09b-0017-4ffe-a8fe-b9b0499b2c01

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