3 papers
math.PR2025
Bernstein Fractional Derivatives: Censoring and Stochastic Processes
David Berger, Cailing Li, René L. Schilling
We define censored fractional Bernstein derivatives on the positive half-line based on the Bernstein--Riemann--Liouville fractional derivative. The censored fractional derivative t…
math.CA2024
The mapping properties of fractional derivatives in weighted fractional Sobolev space
Cailing Li
We study the mapping behavior of the Marchaud fractional derivative with different extensions in the scale of fractional weighted Sobolev spaces. In particular we show that the $α…
math.PR2024
Censored fractional Bernstein derivatives and stochastic processes
Cailing Li
In this paper, we define the censored fractional Bernstein derivative on the positive half line based on the Bernstein Riemann--Liouville fractional derivative. This…