On Mittag-Leffler Kernel-Dependent Fractional Operators With Variable Order
| dc.contributor.author | Jarad, F. | |
| dc.contributor.author | Bahaa, G.M. | |
| dc.contributor.author | Abdeljawad, T. | |
| dc.date.accessioned | 2022-11-10T10:47:24Z | |
| dc.date.accessioned | 2025-09-18T15:44:29Z | |
| dc.date.available | 2022-11-10T10:47:24Z | |
| dc.date.available | 2025-09-18T15:44:29Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this work, integration by parts formulas for variable-order fractional operators with Mittag-Leffler kernels are presented and applied to study constrained fractional variational principles involving variable-order Caputo-type Atangana–Baleanu’s derivatives, where the variable-order fractional Euler–Lagrange equations are investigated. A general formulation of fractional Optimal Control Problems (FOCPs) and a solution scheme for such class of systems are proposed. The performance index of a FOCP is taken into consideration as function of state as well as control variables. © 2019, Springer Nature Singapore Pte Ltd. | en_US |
| dc.description.sponsorship | Prince Sultan University, PSU | en_US |
| dc.identifier.citation | Bahaa, G.M.; Abdeljawad, Thabet; Jarad, Fahd (2019). "On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order", Trends in Mathematics, pp. 41-58. | en_US |
| dc.identifier.doi | 10.1007/978-981-13-9227-6_3 | |
| dc.identifier.issn | 2297-0215 | |
| dc.identifier.scopus | 2-s2.0-85071374274 | |
| dc.identifier.uri | https://doi.org/10.1007/978-981-13-9227-6_3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14310 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.ispartof | Trends in Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | On Mittag-Leffler Kernel-Dependent Fractional Operators With Variable Order | en_US |
| dc.title | On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order | tr_TR |
| dc.type | Book Part | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Bahaa G.M., Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Abdeljawad T., Prince Sultan University, P. O. Box 66833, Riyadh, 11586, Saudi Arabia; Jarad F., Department of Mathematics, Çankaya University, Etimesgut, 06790, Ankara, Turkey | en_US |
| gdc.description.endpage | 58 | en_US |
| gdc.description.publicationcategory | Kitap Bölümü - Uluslararası | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 41 | en_US |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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