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Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative

dc.contributor.authorDubey, Ved Prakash
dc.contributor.authorKumar, Devendra
dc.contributor.authorAlshehri, Hashim M.
dc.contributor.authorSingh, Jagdev
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-03-28T12:45:42Z
dc.date.available2024-03-28T12:45:42Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima. Multiobjective variational problems find their applications in economic planning, flight control design, industrial process control, control of space structures, control of production and inventory, advertising investment, impulsive control problems, mechanics, and several other engineering and scientific problems. The proposed work considers the newly derived Caputo-Fabrizio (CF) fractional derivative operator. It is actually a convolution of the exponential function and the first-order derivative. The significant characteristic of this fractional derivative operator is that it provides a non-singular exponential kernel, which describes the dynamics of a system in a better way. Moreover, the proposed work also presents various weak, strong, and converse duality theorems under the diverse generalized invexity conditions in view of the CF fractional derivative operator.en_US
dc.description.publishedMonth1
dc.identifier.citationDubey, Ved Prakash;...et.al. (2022). "Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative", Open Physics, Vol.20, No.1, pp.939-962.en_US
dc.identifier.doi10.1515/phys-2022-0195
dc.identifier.endpage962en_US
dc.identifier.issn23915471
dc.identifier.issue1en_US
dc.identifier.startpage939en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7823
dc.identifier.volume20en_US
dc.language.isoenen_US
dc.relation.ispartofOpen Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo-Fabrizio Fractional Derivativeen_US
dc.subjectDualityen_US
dc.subjectGeneralized İnvexityen_US
dc.subjectMultiobjective Variational Problemen_US
dc.subjectWeak Minimaen_US
dc.titleGeneralized invexity and duality in multiobjective variational problems involving non-singular fractional derivativetr_TR
dc.titleGeneralized Invexity and Duality in Multiobjective Variational Problems Involving Non-Singular Fractional Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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