Fractional-Order Variational Calculus with Generalized Boundary Conditions

被引:10
|
作者
Herzallah, Mohamed A. E. [2 ,3 ]
Baleanu, Dumitru [1 ,4 ]
机构
[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[2] Zagazig Univ, Fac Sci, Zagazig, Egypt
[3] Majmaah Univ, Fac Sci Zulfi, Zulfi 11932, Saudi Arabia
[4] Inst Space Sci, Bucharest 76900, Romania
关键词
EULER-LAGRANGE EQUATIONS; TERMS;
D O I
10.1155/2011/357580
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian depending on the free end-points. To illustrate our approach, two examples are discussed in detail.
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页数:9
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