VARIATIONAL CALCULUS WITH FRACTIONAL AND CLASSICAL DERIVATIVES

被引：0
|
作者：
Herzallah, Mohamed A. E. [1 ,2 ]
机构：
[1] Zagazig Univ, Fac Sci, Zagazig, Egypt
[2] Majmaah Univ, Coll Sci Zulfi, Al Majmaah, Saudi Arabia
来源：
ROMANIAN JOURNAL OF PHYSICS | 2012年 / 57卷 / 9-10期
关键词：
Fractional integral; fractional derivative; fractional calculus of variations; EULER-LAGRANGE EQUATIONS; HAMILTON FORMALISM; FORMULATION; TERMS; SYSTEMS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper presents necessary and sufficient optimality conditions of Euler-Lagrange type for fractional variational problems with functionals containing classical derivatives and right or left fractional derivatives in both Riemann-Liouville and Caputo senses. We use, as variational functionals, right and left fractional integrals instead of the classical integral.
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页码：1261 / 1269
页数：9
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