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
收藏
页码：17 / 28
页数：12
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