Optimal control problems involving combined fractional operators with general analytic kernels

Bibliographic Details
Main Author: Ndaïrou, Faïçal
Publication Date: 2021
Other Authors: Torres, Delfim F. M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/32193
Summary: Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.
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spelling Optimal control problems involving combined fractional operators with general analytic kernelsFractional operators with general analytic kernelsGronwall’s inequalityOptimal control and Pontryagin’s extremalsMangasarian sufficient optimality conditionFractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.MDPI2021-09-24T10:51:04Z2021-10-01T00:00:00Z2021-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32193eng2227-739010.3390/math9192355Ndaïrou, FaïçalTorres, Delfim F. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:33:59Zoai:ria.ua.pt:10773/32193Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:12:52.897160Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Optimal control problems involving combined fractional operators with general analytic kernels
title Optimal control problems involving combined fractional operators with general analytic kernels
spellingShingle Optimal control problems involving combined fractional operators with general analytic kernels
Ndaïrou, Faïçal
Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
title_short Optimal control problems involving combined fractional operators with general analytic kernels
title_full Optimal control problems involving combined fractional operators with general analytic kernels
title_fullStr Optimal control problems involving combined fractional operators with general analytic kernels
title_full_unstemmed Optimal control problems involving combined fractional operators with general analytic kernels
title_sort Optimal control problems involving combined fractional operators with general analytic kernels
author Ndaïrou, Faïçal
author_facet Ndaïrou, Faïçal
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Ndaïrou, Faïçal
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
topic Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
description Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-24T10:51:04Z
2021-10-01T00:00:00Z
2021-10-01
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/32193
url http://hdl.handle.net/10773/32193
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2227-7390
10.3390/math9192355
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repository.mail.fl_str_mv info@rcaap.pt
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