Variational Problems Involving a Caputo-Type Fractional Derivative

被引：41

作者：

Almeida, Ricardo ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 174卷 / 01期

关键词：

Fractional calculus; Caputo-type fractional derivative; Variational problems; CALCULUS; TERMS;

D O I：

10.1007/s10957-016-0883-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The aim of this paper is to study certain problems of calculus of variations that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo-Hadamard fractional derivatives that are dependent on a real parameter . Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered.

引用

页码：276 / 294

页数：19

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