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On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorJajarmi, Amin
dc.contributor.authorHajipour, Mojtaba
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-03-24T11:22:03Z
dc.date.available2020-03-24T11:22:03Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe purpose of this paper is to study the existence and uniqueness of the solution of nonlinear fractional differential equations with Mittag-Leffler nonsingular kernel. Two numerical methods to solve this problem are designed, and their stability and error estimates are investigated by discretizing the convolution integral and using the Gronwall's inequality. Finally, the theoretical results are verified by using five illustrative examples.en_US
dc.description.publishedMonth10
dc.identifier.citationBaleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel", Nonlinear Dynamics, Vol. 94, No. 1, pp. 397-414, (2018).en_US
dc.identifier.doi10.1007/s11071-018-4367-y
dc.identifier.endpage414en_US
dc.identifier.issn1573-269X
dc.identifier.issue1en_US
dc.identifier.startpage397en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2723
dc.identifier.volume94en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Differential Equationen_US
dc.subjectMittag-Leffler Functionen_US
dc.subjectNonsingular Kernelen_US
dc.subjectNumerical Method Den_US
dc.titleOn the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kerneltr_TR
dc.titleOn the Nonlinear Dynamical Systems Within the Generalized Fractional Derivatives With Mittag-Leffler Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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