A Numerical Scheme for Two-Dimensional Optimal Control Problems With Memory Effect
| dc.contributor.author | Defterli, Ozlem | |
| dc.date.accessioned | 2016-06-15T07:50:19Z | |
| dc.date.accessioned | 2025-09-18T15:43:41Z | |
| dc.date.available | 2016-06-15T07:50:19Z | |
| dc.date.available | 2025-09-18T15:43:41Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | A new formulation for multi-dimensional fractional optimal control problems is presented in this article. The fractional derivatives which are coming from the formulation of the problem are defined in the Riemann-Liouville sense. Some terminal conditions are imposed on the state and control variables whose dimensions need not be the same. A numerical scheme is described by using the Grunwald-Letnikov definition to approximate the Riemann-Liouville Fractional Derivatives. The set of fractional differential equations, which are obtained after the discretization of the time domain, are solved within the Grunwald-Letnikov approximation to obtain the state and the control variable numerically. A two-dimensional fractional optimal control problem is studied as an example to demonstrate the performance of the scheme. (C) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey | en_US |
| dc.description.sponsorship | This work is partially supported by The Scientific and Technological Research Council of Turkey. | en_US |
| dc.identifier.citation | Defterli, Ö. (2010). A numerical scheme for two dimensional optimal control problems with memory effect.Computers&Mathematics With Applications, 59(8), 1630-1636. http://dx.doi.org/10.1016/j.camwa.2010.03.001 | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2009.08.005 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.scopus | 2-s2.0-76449103001 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2009.08.005 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14010 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics with Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Hamiltonian | en_US |
| dc.subject | Variational Analysis | en_US |
| dc.subject | Optimal Control | en_US |
| dc.subject | Quadratic Performance Indices | en_US |
| dc.title | A Numerical Scheme for Two-Dimensional Optimal Control Problems With Memory Effect | en_US |
| dc.title | A numerical scheme for two dimensional optimal control problems with memory effect | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.institutional | Defterli, Ozlem | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 1636 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1630 | en_US |
| gdc.description.volume | 59 | en_US |
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| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Fractional Hamiltonian | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Quadratic performance indices | |
| gdc.oaire.keywords | Variational analysis | |
| gdc.oaire.keywords | Optimal control | |
| gdc.oaire.keywords | Discrete approximations in optimal control | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | optimal control | |
| gdc.oaire.keywords | variational analysis | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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