Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe existence and uniqueness of solutions to nonlinear ordinary differential equations with fractal-fractional derivatives, with Dirac-delta, exponential decay, power law, and generalized Mittag-Leffler kernels, have been the focus of this work. To do this, we used the Chaplygin approach, which entails creating two lower and upper sequences that converge to the solution of the equations under consideration. We have for each case provided the conditions under which these sequences are obtained and converge.
dc.description.sponsorshipNational Research Foundation of South Africa
dc.description.sponsorshipThis study was supported by the National Research Foundation of South Africa.
dc.identifier.doi10.3934/math.2024280
dc.identifier.endpage5793
dc.identifier.issn2473-6988
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85183900605
dc.identifier.scopusqualityQ1
dc.identifier.startpage5763
dc.identifier.urihttps://doi.org/10.3934/math.2024280
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8396
dc.identifier.volume9
dc.identifier.wosWOS:001157506800005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractal-fractional differentiation and integration
dc.subjectChaplygin's method
dc.subjectexistence and uniqueness
dc.titleExtension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations
dc.typeArticle

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