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

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dc.contributor.author Dubey, Ved Prakash
dc.contributor.author Kumar, Devendra
dc.contributor.author Alshehri, Hashim M.
dc.contributor.author Singh, Jagdev
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-03-28T12:45:42Z
dc.date.available 2024-03-28T12:45:42Z
dc.date.issued 2022-01-01
dc.identifier.citation Dubey, 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. tr_TR
dc.identifier.issn 23915471
dc.identifier.uri http://hdl.handle.net/20.500.12416/7823
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1515/phys-2022-0195 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo-Fabrizio Fractional Derivative tr_TR
dc.subject Duality tr_TR
dc.subject Generalized İnvexity tr_TR
dc.subject Multiobjective Variational Problem tr_TR
dc.subject Weak Minima tr_TR
dc.title Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal Open Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 20 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 939 tr_TR
dc.identifier.endpage 962 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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