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.

引用

页码：1261 / 1269

页数：9

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