NEW CLASS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTAL-FRACTIONAL OPERATORS: EXISTENCE, UNIQUENESS AND NUMERICAL SCHEME

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dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:33:58Z
dc.date.available2024-12-24T19:33:58Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we introduce a new fractional integro-differential equation involving newly introduced differential and integral operators socalled fractal-fractional derivatives and integrals. We present a numerical scheme that is convenient for obtaining solution of such equations. We give the general conditions for the existence and uniqueness of the solution of the considered equation using Banach fixed-point theorem. Both the suggested new equation and new numerical scheme will considerably contribute for our readers in theory and applications.
dc.identifier.doi10.3934/dcdss.2021053
dc.identifier.endpage2309
dc.identifier.issn1937-1632
dc.identifier.issn1937-1179
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85109169563
dc.identifier.scopusqualityQ1
dc.identifier.startpage2297
dc.identifier.urihttps://doi.org/10.3934/dcdss.2021053
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8364
dc.identifier.volume14
dc.identifier.wosWOS:000661878900018
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.subjectKey words and phrases
dc.subjectFractal-fractional derivative
dc.subjectFractal-fractional integral
dc.subjectfractional integro-differential equation
dc.subjectnew numerical scheme
dc.titleNEW CLASS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTAL-FRACTIONAL OPERATORS: EXISTENCE, UNIQUENESS AND NUMERICAL SCHEME
dc.typeArticle

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