A New Formulation of the Fractional Optimal Control Problems Involving Mittag-Leffler Nonsingular Kernel
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Hajipour, Mojtaba | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-02-28T11:53:21Z | |
| dc.date.accessioned | 2025-09-18T12:49:21Z | |
| dc.date.available | 2020-02-28T11:53:21Z | |
| dc.date.available | 2025-09-18T12:49:21Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The aim of this paper is to propose a new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. By using the Lagrange multiplier within the calculus of variations and by applying the fractional integration by parts, the necessary optimality conditions are derived in terms of a nonlinear two-point fractional boundary value problem. Based on the convolution formula and generalized discrete Gronwall's inequality, the numerical scheme for solving this problem is developed and its convergence is proved. Numerical simulations and comparative results show that the suggested technique is efficient and provides satisfactory results. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "A new formulation of the fractional optimal control problems involving mittag-leffler nonsingular kernel", Journal Of Optimization Theory And Applications, Vol.175, No.3, pp.718-737, (2017). | en_US |
| dc.identifier.doi | 10.1007/s10957-017-1186-0 | |
| dc.identifier.issn | 0022-3239 | |
| dc.identifier.issn | 1573-2878 | |
| dc.identifier.scopus | 2-s2.0-85033472302 | |
| dc.identifier.uri | https://doi.org/10.1007/s10957-017-1186-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12343 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer/plenum Publishers | en_US |
| dc.relation.ispartof | Journal of Optimization Theory and Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.subject | Fractional Optimal Control | en_US |
| dc.subject | Euler Method | en_US |
| dc.title | A New Formulation of the Fractional Optimal Control Problems Involving Mittag-Leffler Nonsingular Kernel | en_US |
| dc.title | A new formulation of the fractional optimal control problems involving mittag-leffler nonsingular kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Jajarmi, Amin] Univ Bojnord, Bojnord, Iran; [Hajipour, Mojtaba] Sahand Univ Technol, Tabriz, Iran | en_US |
| gdc.description.endpage | 737 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 718 | en_US |
| gdc.description.volume | 175 | en_US |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Mittag-Leffler kernel | |
| gdc.oaire.keywords | Other numerical methods in calculus of variations | |
| gdc.oaire.keywords | fractional optimal control | |
| gdc.oaire.keywords | Euler method | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Variational inequalities | |
| gdc.oaire.keywords | Optimality conditions for problems involving ordinary differential equations | |
| gdc.oaire.keywords | Mittag-Leffler functions and generalizations | |
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