The extended Mittag-Leffler function via fractional calculus
| 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.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| 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. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.22436/jnsa.010.08.19 | |
| dc.identifier.endpage | 4253 | en_US |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.startpage | 4244 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/2550 | |
| dc.identifier.volume | 10 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Int Scientific Research Publications | en_US |
| dc.relation.ispartof | Journal Of Nonlinear Sciences And Applications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Integration | en_US |
| dc.subject | Differential Operator | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Lebesgue Measurable Function | en_US |
| dc.subject | Extended Mittag-Leffler Function | en_US |
| dc.title | The extended Mittag-Leffler function via fractional calculus | tr_TR |
| dc.title | The Extended Mittag-Leffler Function Via Fractional Calculus | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |
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