New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials
| dc.contributor.author | Hafez, Ramy M. | |
| dc.contributor.author | Bhrawy, Ali H. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | El-Kalaawy, Ahmed A. | |
| dc.contributor.author | Ezz-Eldien, Samer S. | |
| dc.date.accessioned | 2020-03-06T12:14:14Z | |
| dc.date.accessioned | 2025-09-18T12:49:13Z | |
| dc.date.available | 2020-03-06T12:14:14Z | |
| dc.date.available | 2025-09-18T12:49:13Z | |
| dc.date.issued | 2017 | |
| dc.description | Hafez, Ramy/0000-0001-9533-3171 | en_US |
| dc.description.abstract | This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann-Liouville, with the help of the Lagrange multiplier technique for converting the fractional variational problem into an easier problem that consisting of solving an algebraic equations system in the unknown coefficients. Several numerical examples are introduced, combined with their approximate solutions and comparisons with other numerical approaches, for confirming the accuracy and applicability of the proposed approach. | en_US |
| dc.identifier.citation | Ezz-Eldien, Samer S... et.al. (2017). "New numerical approach for fractional variational problems using shifted legendre orthonormal polynomials", Journal Of Optimization Theory And Applications, Vol.174, No.1, pp.295-320. | en_US |
| dc.identifier.doi | 10.1007/s10957-016-0886-1 | |
| dc.identifier.issn | 0022-3239 | |
| dc.identifier.issn | 1573-2878 | |
| dc.identifier.scopus | 2-s2.0-84975686249 | |
| dc.identifier.uri | https://doi.org/10.1007/s10957-016-0886-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12290 | |
| 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 Variational Problems | en_US |
| dc.subject | Lagrange Multiplier Technique | en_US |
| dc.subject | Riemann-Liouville Integrals | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.title | New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials | en_US |
| dc.title | New numerical approach for fractional variational problems using shifted legendre orthonormal polynomials | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hafez, Ramy/0000-0001-9533-3171 | |
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| gdc.author.wosid | Ezz-Eldien, Samer/Agk-8059-2022 | |
| gdc.author.wosid | Hafez, Ramy/Aaa-5936-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ezz-Eldien, Samer S.] Assiut Univ, Fac Sci, Dept Math, New Valley Branch, El Kharja 72511, Egypt; [Hafez, Ramy M.] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo, Egypt; [Bhrawy, Ali H.; El-Kalaawy, Ahmed A.] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 320 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 295 | en_US |
| gdc.description.volume | 174 | en_US |
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| gdc.oaire.keywords | Numerical optimization and variational techniques | |
| gdc.oaire.keywords | numerical examples | |
| gdc.oaire.keywords | Existence theories for optimal control problems involving ordinary differential equations | |
| gdc.oaire.keywords | Discrete approximations in optimal control | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional variational problems | |
| gdc.oaire.keywords | operational matrix | |
| gdc.oaire.keywords | Legendre polynomials | |
| gdc.oaire.keywords | Lagrange multiplier technique | |
| gdc.oaire.keywords | Riemann-Liouville integrals | |
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