On Fractional Derivatives With Generalized Mittag-Leffler Kernels
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2022-10-11T11:47:24Z | |
| dc.date.accessioned | 2025-09-18T16:08:31Z | |
| dc.date.available | 2022-10-11T11:47:24Z | |
| dc.date.available | 2025-09-18T16:08:31Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms. The action of the presented fractional integrals on the Caputo and Riemann type derivatives with three parameter Mittag-Leffler kernels is analyzed. Integration by parts formulas in the sense of Riemann and Caputo are proved and then used to formulate the fractional Euler-Lagrange equations with an illustrative example. Certain nonconstant functions whose fractional derivatives are zero are determined as well. | en_US |
| dc.description.publishedMonth | 12 | |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The first author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet; Baleanu, Dumitru (2018). "On fractional derivatives with generalized Mittag-Leffler kernels", Advances in Difference Equations", Vol. 2018, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1914-2 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85058927438 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1914-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15072 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pushpa Publishing House | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Derivatives With Generalized Mittag-Leffler Kernels | en_US |
| dc.subject | Generalized Mittag-Leffler Function | en_US |
| dc.subject | Laplace Transform Convolution | en_US |
| dc.subject | Euler-Lagrange Equation | en_US |
| dc.subject | Integration By Parts | en_US |
| dc.title | On Fractional Derivatives With Generalized Mittag-Leffler Kernels | en_US |
| dc.title | On fractional derivatives with generalized Mittag-Leffler kernels | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 6508051762 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000453842400001 | |
| gdc.openalex.fwci | 5.654 | |
| gdc.opencitations.count | 59 | |
| gdc.scopus.citedcount | 92 | |
| gdc.wos.citedcount | 80 |