Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives

被引：9
|
作者：
Zhang, Jianke [1 ]
Ma, Xiaojue [1 ]
Li, Lifeng [1 ]
机构：
[1] Xian Univ Posts & Telecommun, Sch Sci, Dept Math, Changan Rd, Xian, Shaanxi, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
fractional variational problems; optimality conditions; Caputo-Fabrizio fractional derivative; FORMULATION; CALCULUS; MODEL;
D O I：
10.1186/s13662-017-1388-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrange function depending on a Caputo-Fabrizio fractional derivative. The new kernel of Caputo-Fabrizio fractional derivative has no singularity, which is critical to interpreting the memory aftermath of the system. This property was not precisely illustrated in the previous definitions. Two special cases of fractional variational problems are considered to demonstrate the application of the optimality conditions.
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收藏
页数：14
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