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dc.contributor.authorEvirgen, Fırat
dc.contributor.authorÖzdemir, Necati
dc.date.accessioned2019-10-16T11:46:29Z
dc.date.available2019-10-16T11:46:29Z
dc.date.issued2011en_US
dc.identifier.issn1555-1423
dc.identifier.urihttps://doi.org/10.1115/1.4002393
dc.identifier.urihttps://hdl.handle.net/20.500.12462/7202
dc.description.abstractThis paper deals with implementation of the multistage Adomian decomposition method (MADM) to solve a class of nonlinear programming (NLP) problems, which are reformulated with a nonlinear system of fractional differential equations. The multistage strategy is used to investigate the relation between an equilibrium point of the fractional order dynamical system and an optimal solution of the NLP problem. The preference of the method lies in the fact that the multistage strategy gives this relation in an arbitrary longtime interval, while the Adomian decomposition method (ADM) gives the optimal solution just only in the neighborhood of the initial time. The numerical results taken by the fractional order MADM show that these results are compatible with the solution of NLP problem rather than the ADM. Furthermore, in some cases the fractional order MADM can perform more rapid convergency to the optimal solution of optimization problem than the integer order ones.en_US
dc.language.isoengen_US
dc.publisherAsme-Amer Soc Mechanical Engen_US
dc.relation.isversionof10.1115/1.4002393en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear Programmingen_US
dc.subjectDynamical Systemen_US
dc.subjectFractional Derivativeen_US
dc.subjectAdomian Decomposition Methoden_US
dc.subjectMultistage Strategyen_US
dc.subjectPenalty Functionen_US
dc.titleMultistage adomian decomposition method for solving nlp problems over a nonlinear fractional dynamical systemen_US
dc.typearticleen_US
dc.relation.journalJournal of Computational and Nonlinear Dynamicsen_US
dc.contributor.departmentFen Edebiyat Fakültesien_US
dc.contributor.authorID0000-0002-0798-5004en_US
dc.identifier.volume6en_US
dc.identifier.issue2en_US
dc.identifier.startpage1en_US
dc.identifier.endpage6en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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