Existence and Discrete Approximation for Optimization Problems Governed by Fractional Differential Equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.author | Bai, Yunru | |
| dc.date.accessioned | 2020-03-27T08:13:11Z | |
| dc.date.accessioned | 2025-09-18T13:26:24Z | |
| dc.date.available | 2020-03-27T08:13:11Z | |
| dc.date.available | 2025-09-18T13:26:24Z | |
| dc.date.issued | 2018 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | We investigate a class of generalized differential optimization problems driven by the Caputo derivative. Existence of weak Caratheodory solution is proved by using Weierstrass existence theorem, fixed point theorem and Filippov implicit function lemma etc. Then a numerical approximation algorithm is introduced, and a convergence theorem is established. Finally, a nonlinear programming problem constrained by the fractional differential equation is illustrated and the results verify the validity of the algorithm. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China [11301257] | en_US |
| dc.description.sponsorship | Project supported by the National Natural Science Foundation of China (Grant No. 11301257). | en_US |
| dc.identifier.citation | Bai, Yunru; Baleanu, Dumitru; Wu, Guo-Cheng, "Existence and discrete approximation for optimization problems governed by fractional differential equations" Communications In Nonlinear Science and Numeiıcal Simulation, Vol. 59, pp. 338-348, (2018) | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2017.11.009 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85037525816 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2017.11.009 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12601 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Weak Caratheodory Solution | en_US |
| dc.subject | Fractional Differential Optimization Problem | en_US |
| dc.subject | Numerical Approximation Algorithm | en_US |
| dc.subject | Weierstrass Existence Theorem | en_US |
| dc.title | Existence and Discrete Approximation for Optimization Problems Governed by Fractional Differential Equations | en_US |
| dc.title | Existence and Discrete Approximation for Optimization Problems Governed By Fractional Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bai, Yunru] Qujing Normal Univ, Sch Math & Stat, Qujing 655011, Yunnan, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Wu, Guo-Cheng] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China | en_US |
| gdc.description.endpage | 348 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 338 | en_US |
| gdc.description.volume | 59 | en_US |
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| gdc.oaire.keywords | Discrete approximations in optimal control | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | weak Carathéodory solution | |
| gdc.oaire.keywords | Weierstrass existence theorem | |
| gdc.oaire.keywords | fractional differential optimization problem | |
| gdc.oaire.keywords | Existence theories for optimal control problems involving relations other than differential equations | |
| gdc.oaire.keywords | numerical approximation algorithm | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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