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Fractional Vector Calculus in The Frame of A Generalized Caputo Fractional Derivative

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dc.contributor.author Gambo, Yusuf Ya'u
dc.contributor.author Jarad, Fahd
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2020-04-03T22:46:38Z
dc.date.available 2020-04-03T22:46:38Z
dc.date.issued 2018
dc.identifier.issn 1223-7027
dc.identifier.uri http://hdl.handle.net/20.500.12416/2920
dc.description.abstract The authors in [1] recently introduced a new generalized fractional derivative on AC(y)(n)[a ,b] and C-y(n)[a, b], and defined their Caputo version. This derivative contains two parameters and reduces to the classical Caputo derivatives if one of these parameters tend to certain values. From here and after, by generalized Caputo fractional derivative, we refer to the Caputo version of the generalized fractional derivative. This paper studies the generalized Caputo fractional derivative and establishes the Fundamental Theorem of Fractional Calculus (FTFC) in the sense of this derivative. The fundamental results are used in establishing some vital theorems and then applied to vector calculus. tr_TR
dc.language.iso eng tr_TR
dc.publisher Univ Politehnica Bucharest tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Generalized Caputo Fractional Derivative tr_TR
dc.subject Fractional Vector Calculus tr_TR
dc.subject Fundamental Theorem of Fractional Calculus (FTFC) tr_TR
dc.title Fractional Vector Calculus in The Frame of A Generalized Caputo Fractional Derivative tr_TR
dc.type article tr_TR
dc.relation.journal University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 80 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 219 tr_TR
dc.identifier.endpage 228 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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