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The extended Mittag-Leffler function via fractional calculus

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dc.contributor.author Rahman, Gauhar
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.contributor.author Purohit, Sunil Dutt
dc.contributor.author Mubeen, Shahid
dc.contributor.author Arshad, Muhammad
dc.date.accessioned 2020-02-28T08:36:59Z
dc.date.available 2020-02-28T08:36:59Z
dc.date.issued 2017
dc.identifier.citation Rahman, Gauhar...et al. (2017). "The extended Mittag-Leffler function via fractional calculus", Journal Of Nonlinear Sciences And Applications, Vol.10, No.8, pp.4244-4253. tr_TR
dc.identifier.issn 2008-1898
dc.identifier.uri http://hdl.handle.net/20.500.12416/2550
dc.description.abstract In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: E-alpha,beta(gamma;q,c) (z) = Sigma(infinity)(n=0) B-p (gamma + nq, c - gamma)(c)(nq) z(n)/B(gamma, c - gamma)Gamma(alpha n + beta) n!' (z,beta,gamma is an element of C), as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels. tr_TR
dc.language.iso eng tr_TR
dc.publisher Int Scientific Research Publications tr_TR
dc.relation.isversionof 10.22436/jnsa.010.08.19 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Integration tr_TR
dc.subject Differential Operator tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.subject Lebesgue Measurable Function tr_TR
dc.subject Extended Mittag-Leffler Function tr_TR
dc.title The extended Mittag-Leffler function via fractional calculus tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Nonlinear Sciences And Applications tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 4244 tr_TR
dc.identifier.endpage 4253 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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