Integration by Parts and Its Applications of a New Nonlocal Fractional Derivative With Mittag-Leffler Nonsingular Kernel
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2018-10-10T14:41:32Z | |
| dc.date.accessioned | 2025-09-18T13:27:54Z | |
| dc.date.available | 2018-10-10T14:41:32Z | |
| dc.date.available | 2025-09-18T13:27:54Z | |
| dc.date.issued | 2017 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula. We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example is discussed. (C) 2017 All rights reserved. | en_US |
| dc.identifier.citation | Abdeljawad, T., Baleanu, D. (2017). Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Journal Of Nonlinear Sciences And Applications, 10(3), 1098-1107. http://dx.doi.org/ 10.22436/jnsa.010.03.20 | en_US |
| dc.identifier.doi | 10.22436/jnsa.010.03.20 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.uri | https://doi.org/10.22436/jnsa.010.03.20 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13072 | |
| 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 Calculus | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Fractional Integration By Parts | en_US |
| dc.subject | Fractional Euler-Lagrange Equations | en_US |
| dc.title | Integration by Parts and Its Applications of a New Nonlocal Fractional Derivative With Mittag-Leffler Nonsingular Kernel | en_US |
| dc.title | Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1107 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1098 | en_US |
| gdc.description.volume | 10 | en_US |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | fractional Euler-Lagrange equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | fractional integration by parts | |
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