A novel fractional structure of a multi-order quantum multi-integro-differential problem

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dc.authorid0000-0002-3884-3957en_US
dc.contributor.authorDuc Phuong, Nguyen
dc.contributor.authorSakar, Fethiye Müge
dc.contributor.authorEtemad, Sina
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2021-04-21T10:31:21Z
dc.date.available2021-04-21T10:31:21Z
dc.date.issued2020en_US
dc.departmentDicle Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümüen_US
dc.descriptionWOS:000593972500002
dc.description.abstractIn the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum integrals is considered for the first time. In fact, in the light of this type of boundary value problem equipped with the multi-integro-differential setting, one can simply study different cases of the existing usual integro-differential problems in the literature. In this direction, we utilize well-known analytical techniques to derive desired criteria which guarantee the existence of solutions for the proposed multi-order quantum multi-integro-differential problem. Further, some numerical examples are considered to examine our theoretical and analytical findings using the proposed methods.en_US
dc.identifier.citationDuc Phuong, N., Sakar, F. M., Etemad, S., Rezapour, S. (2020). A novel fractional structure of a multi-order quantum multi-integro-differential problem. Advances in Difference Equations, 2020(1), 1-23.en_US
dc.identifier.doi10.1186/s13662-020-03092-z
dc.identifier.endpage23en_US
dc.identifier.issn1687-1839
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85095859678
dc.identifier.scopusqualityQ2
dc.identifier.startpage1en_US
dc.identifier.urihttps://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-020-03092-z.pdf
dc.identifier.urihttps://hdl.handle.net/11468/6790
dc.identifier.volume2020en_US
dc.identifier.wosWOS:000593972500002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorSakar, Fethiye Müge
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBoundary value problemen_US
dc.subjectMulti-integro-differential equationen_US
dc.subjectQuantum calculusen_US
dc.subjectThe Caputo quantum derivativeen_US
dc.titleA novel fractional structure of a multi-order quantum multi-integro-differential problemen_US
dc.titleA novel fractional structure of a multi-order quantum multi-integro-differential problem
dc.typeArticleen_US

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