Geodesic
Local density of Caputo-stationary functions in the space of smooth functions
Bucur, Claudia1
1 Dipartimento di Matematica, Università degli Studi di Milano, Via Cesare Saldini, 50 20100, Milano Italy.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1361-1380 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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 k loc (R).

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2016056
Classification : 26A33, 34K37, 47G20
Keywords: Caputo stationary, fractional derivative, nonlocal operators

Bucur, Claudia 1

1 Dipartimento di Matematica, Università degli Studi di Milano, Via Cesare Saldini, 50 20100, Milano Italy. 
@article{COCV_2017__23_4_1361_0,
     author = {Bucur, Claudia},
     title = {Local density of {Caputo-stationary} functions in the space of smooth functions},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1361--1380},
     year = {2017},
     publisher = {EDP-Sciences},
     volume = {23},
     number = {4},
     doi = {10.1051/cocv/2016056},
     mrnumber = {3716924},
     zbl = {1396.26013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2016056/}
}
TY  - JOUR
AU  - Bucur, Claudia
TI  - Local density of Caputo-stationary functions in the space of smooth functions
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2017
SP  - 1361
EP  - 1380
VL  - 23
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2016056/
DO  - 10.1051/cocv/2016056
LA  - en
ID  - COCV_2017__23_4_1361_0
ER  - 
%0 Journal Article
%A Bucur, Claudia
%T Local density of Caputo-stationary functions in the space of smooth functions
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2017
%P 1361-1380
%V 23
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2016056/
%R 10.1051/cocv/2016056
%G en
%F COCV_2017__23_4_1361_0
Bucur, Claudia. Local density of Caputo-stationary functions in the space of smooth functions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1361-1380. doi: 10.1051/cocv/2016056

Cité par Sources :