Data di Pubblicazione:
2017
Citazione:
Local density of Caputo-stationary functions in the space of smooth functions / C. Bucur. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - 23:4(2017 Oct), pp. 1361-1380.
Abstract:
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 Ck( [ 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 Ckloc(R).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Caputo stationary; fractional derivative; nonlocal operators
Elenco autori:
C. Bucur
Link alla scheda completa: