Analysis of a new partial integro-differential equation with mixed fractional operators

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dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:25:24Z
dc.date.available2024-12-24T19:25:24Z
dc.date.issued2019
dc.departmentSiirt Üniversitesi
dc.description.abstractWe have introduced a new partial integro-differential equation with mixed fractional operators. The differential operator can be taken as Caputo while the integral is consider to be Caputo-Fabrizio or the Atangana-Baleanu integral. We presented the well poseness of the new class of partial differential equation. We presented the conditions which the existence and uniqueness are obtained. We presented the derivation of exact solution under some conditions. We suggested a numerical scheme that will be used to solve such mathematical equations. We presented some illustratives examples. (C) 2019 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2019.06.005
dc.identifier.endpage271
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85068497894
dc.identifier.scopusqualityQ1
dc.identifier.startpage257
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2019.06.005
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6401
dc.identifier.volume127
dc.identifier.wosWOS:000487764300024
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.subjectFractional differentiation
dc.subjectFractional integration
dc.subjectNew numerical schemes
dc.subjectNew partial differential equation
dc.titleAnalysis of a new partial integro-differential equation with mixed fractional operators
dc.typeArticle

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