ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:58Z
dc.date.available2024-12-24T19:33:58Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractNew class of differential and integral operators with fractional order and fractal dimension have been introduced very recently and gave birth to new class of differential and integral equations. In this paper, we derive exact solution of some important ordinary differential equations where the differential operators are the fractal-fractional. We presented a new numerical scheme to obtain solution in the nonlinear case. We presented the numerical simulation for different values of fractional orders and fractal dimension.
dc.identifier.doi10.3934/dcdss.2020421
dc.identifier.endpage3457
dc.identifier.issn1937-1632
dc.identifier.issn1937-1179
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85098689279
dc.identifier.scopusqualityQ1
dc.identifier.startpage3441
dc.identifier.urihttps://doi.org/10.3934/dcdss.2020421
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8362
dc.identifier.volume14
dc.identifier.wosWOS:000678575000007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofDiscrete and Continuous Dynamical Systems-Series S
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFactal fractional derivatives
dc.subjectpower law kernel
dc.subjectexponential decay kernel
dc.subjectMittag-Leffler kernel
dc.subjectLaplace transform
dc.titleON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS
dc.typeArticle

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