The Extended Mittag-Leffler Function Via Fractional Calculus
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al Qurashi, Maysaa | |
| dc.contributor.author | Purohit, Sunil Dutt | |
| dc.contributor.author | Mubeen, Shahid | |
| dc.contributor.author | Arshad, Muhammad | |
| dc.contributor.author | Rahman, Gauhar | |
| dc.date.accessioned | 2020-02-28T08:36:59Z | |
| dc.date.accessioned | 2025-09-18T14:10:35Z | |
| dc.date.available | 2020-02-28T08:36:59Z | |
| dc.date.available | 2025-09-18T14:10:35Z | |
| dc.date.issued | 2017 | |
| dc.description | Rahman, Gauhar/0000-0002-2728-7537; Arshad, Muhammad/0000-0003-3041-328X | 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. (C) 2017 All rights reserved. | en_US |
| dc.description.sponsorship | International Scientific Partnership Program ISPP at King Saud University [63]; Interreg [63] Funding Source: Interreg | en_US |
| dc.description.sponsorship | The authors would like to thank the anonymous referee for his/her comments that helped us to improve this article. The authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP#63. | 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.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.uri | https://doi.org/10.22436/jnsa.010.08.19 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13738 | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.ispartof | The Journal of Nonlinear Sciences and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | 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 | en_US |
| dc.title | The extended Mittag-Leffler function via fractional calculus | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rahman, Gauhar/0000-0002-2728-7537 | |
| gdc.author.id | Arshad, Muhammad/0000-0003-3041-328X | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mubeen, Shahid/K-8622-2019 | |
| gdc.author.wosid | Purohit, Sunil/F-3017-2011 | |
| gdc.author.wosid | Rahman, Gauhar/Aap-7213-2021 | |
| gdc.author.wosid | Arshad, Muhammad/Mah-8073-2025 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rahman, Gauhar; Arshad, Muhammad] Int Islamic Univ, Dept Math, Islamabad, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Al Qurashi, Maysaa] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia; [Purohit, Sunil Dutt] Rajasthan Tech Univ, Dept HEAS Math, Kota, India; [Mubeen, Shahid] Univ Sargodha, Dept Math, Sargodha, Pakistan | en_US |
| gdc.description.endpage | 4253 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 4244 | en_US |
| gdc.description.volume | 10 | en_US |
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| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | extended Mittag-Leffler function | |
| gdc.oaire.keywords | Other functions defined by series and integrals | |
| gdc.oaire.keywords | Generalized hypergeometric series, \({}_pF_q\) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Lebesgue measurable function | |
| gdc.oaire.keywords | differential operator | |
| gdc.oaire.keywords | Functions of one variable | |
| gdc.oaire.keywords | fractional integration | |
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