A necessary optimality condition for extended weighted generalized fractional optimal control problems

被引：0

作者：

Zine, Houssine ^{[1
]}

Lotfi, El Mehdi ^{[2
]}

Torres, Delfim F. M. ^{[1
]}

Yousfi, Noura ^{[2
]}

机构：

[1] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[2] Hassan II Univ Casablanca, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POBox 7955, Casablanca, Morocco

来源：

RESULTS IN CONTROL AND OPTIMIZATION | 2024年 / 14卷

关键词：

Extended weighted generalized fractional; optimal control problems; Weak Pontryagin's maximum principle; Fractional calculus of variations; Fractional Euler-Lagrange equation and; Hamiltonian approach; Weighted generalized integration by parts; PONTRYAGIN MAXIMUM PRINCIPLE; MECHANICS;

D O I：

10.1016/j.rico.2023.100356

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin's maximum principle is proved. As corollaries, necessary optimality conditions for Caputo-Fabrizio, Atangana-Baleanu and weighted Atangana-Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler-Lagrange equation is given.

引用

页数：5

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