含分数阶导数和分数阶积分的变分法
最优化与控制
2009-10-02 v1 数学物理
math.MP
摘要
我们证明了对于包含黎曼-刘维尔意义下分数阶导数和分数阶积分的泛函的变分法问题，其欧拉-拉格朗日分数阶方程和充分最优性条件。
引用
@article{arxiv.0907.1024,
title = {Calculus of variations with fractional derivatives and fractional integrals},
author = {Ricardo Almeida and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0907.1024},
year = {2009}
}
备注
Accepted (July 6, 2009) for publication in Applied Mathematics Letters