Numerical analysis of a new volterra integro-differential equation involving fractal-fractional operators

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dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorIgret Araz, Seda
dc.date.accessioned2024-12-24T19:25:25Z
dc.date.available2024-12-24T19:25:25Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we suggest a new integro-differential equation by utilizing from the concept of fractal-fractional derivative and integral newly introduced by Atangana. We offer that under which conditions the solution of the suggested equation is exist and unique benefitting from Banach fixed-point theorem. Also, we construct a new numerical scheme for the numerical solution of our problem and we give numerical simulation and illustrations for different values of fractional order alpha and fractal order beta. That's why, this study will guide for researchers significantly in theory and applications. (C) 2019 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2019.109396
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85071399758
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2019.109396
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6403
dc.identifier.volume130
dc.identifier.wosWOS:000514570600050
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectFractal-fractional derivative
dc.subjectFractal-fractional integral
dc.subjectFractional integro-differential equation
dc.subjectNew numerical scheme
dc.titleNumerical analysis of a new volterra integro-differential equation involving fractal-fractional operators
dc.typeArticle

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