FRACTIONAL VARIATIONAL PRINCIPLES WITH DELAY WITHIN CAPUTO DERIVATIVES

被引：43

作者：

Jarad, Fahd ^{[1
]}

Abdeljawad , Thabet ^{[1
]}

Baleanu, Dumitru ^{[1
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2010年 / 65卷 / 01期

关键词：

fractional variational principles; fractional derivatives; delay; EULER-LAGRANGE EQUATIONS; HAMILTONIAN-FORMULATION; LINEAR VELOCITIES; NUMERICAL SCHEME; DIFFUSION; FORMALISM; MECHANICS;

D O I：

10.1016/S0034-4877(10)00010-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we investigate the fractional variational principles within Caputo derivatives in the presence of delay derivatives. The corresponding Euler-Lagrange equations are obtained for the case of one dependent variable. A generalization to it dependent variables is obtained. Physical example is analyzed in detail.

引用

页码：17 / 28

页数：12

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