LOCAL DENSITY OF CAPUTO-STATIONARY FUNCTIONS IN THE SPACE OF SMOOTH FUNCTIONS

被引：12

作者：

Bucur, Claudia ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Via Cesare Saldini 50, I-20100 Milan, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2017年 / 23卷 / 04期

关键词：

Caputo stationary; fractional derivative; nonlocal operators;

D O I：

10.1051/cocv/2016056

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the Caputo fractional derivative and say that a function is Caputo-stationary if its Caputo derivative is zero. We then prove that any C-k ([0, 1]) function can be approximated in [0, 1] by a function that is Caputo-stationary in [0, 1], with initial point a < 0. Otherwise said, Caputo-stationary functions are dense in C-loc(k)( R).

引用

页码：1361 / 1380

页数：20

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