An Accurate Numerical Technique for Solving Fractional Optimal Control Problems
| dc.contributor.author | Bhrawy, A. H. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Doha, E. H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Ezz-Eldien, S. S. | |
| dc.contributor.author | Abdelkawy, M. A. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:50:45Z | |
| dc.date.available | 2025-09-23T12:50:45Z | |
| dc.date.issued | 2015 | |
| dc.description | Abdelkawy, Mohamed/0000-0002-9043-9644; Doha, Eid/0000-0002-7781-6871 | en_US |
| dc.description.abstract | In this article, we propose the shifted Legendre orthonormal polynomials for the numerical solution of the fractional optimal control problems that appear in several branches of physics and engineering. The Rayleigh-Ritz method for the necessary conditions of optimization and the operational matrix of fractional derivatives are used together with the help of the properties of the shifted Legendre orthonormal polynomials to reduce the fractional optimal control problem to solving a system of algebraic equations that greatly simplifies the problem. For confirming the efficiency and accuracy of the proposed technique, an illustrative numerical example is introduced with its approximate solution. | en_US |
| dc.description.publishedMonth | 1 | |
| dc.identifier.citation | Bhrawy, A.H...et al. (2015). "An Accurate Numerical Technique for Solving Fractional Optimal Control Problems", Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science, Vol. 16, No. 1, pp. 47-54. | en_US |
| dc.identifier.issn | 1454-9069 | |
| dc.identifier.scopus | 2-s2.0-84923825135 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15545 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Optimal Control Problem | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.subject | Rayleigh-Ritz Method | en_US |
| dc.subject | Caputo Derivatives | en_US |
| dc.title | An Accurate Numerical Technique for Solving Fractional Optimal Control Problems | en_US |
| dc.title | An Accurate Numerical Technique for Solving Fractional Optimal Control Problems | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Abdelkawy, Mohamed/0000-0002-9043-9644 | |
| gdc.author.id | Doha, Eid/0000-0002-7781-6871 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 14319102000 | |
| gdc.author.scopusid | 6602467804 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 38861466200 | |
| gdc.author.scopusid | 56704936300 | |
| gdc.author.wosid | Ezz-Eldien, Samer/Agk-8059-2022 | |
| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdelkawy, M/Aeb-7974-2022 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bhrawy, A. H.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia; [Bhrawy, A. H.; Abdelkawy, M. A.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Doha, E. H.] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia; [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Ezz-Eldien, S. S.] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo, Egypt | en_US |
| gdc.description.endpage | 54 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 47 | en_US |
| gdc.description.volume | 16 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q4 | |
| gdc.identifier.wos | WOS:000350946500007 | |
| gdc.scopus.citedcount | 63 | |
| gdc.wos.citedcount | 64 | |
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