Fractional Variational Problems Depending on Indefinite Integrals and with Delay

被引：8

作者：

Almeida, Ricardo ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 04期

关键词：

Calculus of variations; Fractional calculus; Caputo derivatives; Time delay; TIME-DELAY; EQUATIONS; SYSTEMS; TERMS; MODEL;

D O I：

10.1007/s40840-015-0248-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to exhibit a necessary and sufficient condition of optimality for functionals depending on fractional integrals and derivatives, on indefinite integrals and on the presence of time delay. We exemplify with one example, where we find analytically the minimizer.

引用

页码：1515 / 1528

页数：14

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