Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative
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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative ; volume:20 ; number:1 ; year:2022 ; pages:939-962 ; extent:24
Open physics ; 20, Heft 1 (2022), 939-962 (gesamt 24)
- Urheber
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Dubey, Ved Prakash
Kumar, Devendra
Alshehri, Hashim M.
Singh, Jagdev
Baleanu, Dumitru
- DOI
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10.1515/phys-2022-0195
- URN
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urn:nbn:de:101:1-2022092814052305652224
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:35 MESZ
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Beteiligte
- Dubey, Ved Prakash
- Kumar, Devendra
- Alshehri, Hashim M.
- Singh, Jagdev
- Baleanu, Dumitru
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