General necessary conditions for infinite horizon fractional variational problems

被引：1

作者：

Almeida, Ricardo ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 07期

关键词：

Fractional calculus of variations; Infinite horizon problems; TRANSVERSALITY CONDITIONS; LAGRANGIAN MECHANICS; TAYLORS SERIES; CALCULUS; ORDER;

D O I：

10.1016/j.aml.2013.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider infinite horizon fractional variational problems, where the fractional derivative is defined in the sense of Caputo. Necessary optimality conditions for higher-order variational problems and optimal control problems are obtained. Transversality conditions are obtained in the case state functions are free at the initial time. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：787 / 793

页数：7

共 50 条

[31] Necessary conditions for infinite-horizon discounted two-stage optimal control problems
Makris, M
JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2001, 25 (12): : 1935 - 1950
[32] Necessity of transversality conditions for infinite horizon problems
Kamihigashi, T
ECONOMETRICA, 2001, 69 (04) : 995 - 1012
[33] On Necessary Transversality Condition for Infinite Horizon Optimal Control Problems
Prazak, Pavel
PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II, 2011, : 575 - 580
[34] Necessary optimality conditions for fuzzy variational problems
Farhadinia, B.
INFORMATION SCIENCES, 2011, 181 (07) : 1348 - 1357
[35] Necessary and sufficient optimality conditions for fuzzy fractional variational problems under granular fuzzy Caputo fractional derivatives
Le, T. T.
Dang, H. T.
Tran, T. K.
Pham, L. B. N.
COMPUTATIONAL & APPLIED MATHEMATICS, 2025, 44 (02):
[36] Variational necessary conditions for optimal control problems
Sidi, Maawiya Ould
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (03): : 186 - 191
[37] Pseudospectral method for fractional infinite horizon optimal control problems
Yang, Yin
Noori Skandari, M. H.
OPTIMAL CONTROL APPLICATIONS & METHODS, 2020, 41 (06): : 2201 - 2212
[38] GENERAL NECESSARY CONDITIONS FOR OPTIMIZATION PROBLEMS
HALKIN, H
NEUSTADT, LW
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1966, 56 (04) : 1066 - &
[39] Optimality conditions for infinite horizon control problems.
Tessitore, ME
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1995, 9B (04): : 785 - 814
[40] Well-posed infinite horizon variational problems on a compact manifold
A. A. Agrachev
Proceedings of the Steklov Institute of Mathematics, 2010, 268 : 17 - 31

← 1 2 3 4 5 →