文章基本信息

标题：Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
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作者：Jianke Zhang ; Xiaojue Ma ; Lifeng Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：357
DOI：10.1186/s13662-017-1388-7
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：fractional variational problems ; optimality conditions ; Caputo-Fabrizio fractional derivative