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Now showing items 11-13 of 13
Stochastic black-scholes equation with time-fractional derivative on the half-line
(International Journal of Pure and Applied Mathematics, 2016-01)
We investigate the pricing of options using a modified Black-Scholes equation with a time-fractional derivative and additive white noise on the half-line. We construct the Green function for the initial-boundary value ...
Holder norm estimate for the fractal Hilbert transform in Douglis analysis
(Springer, 2016-01)
The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.
Hölder norm estimate for the fractal Hilbert transform in Douglis analysis
(Springer, 2017-03-21)
Douglis analysis is an alternative approach to complex methods for the investigation of linear and uniformly elliptic systems of 2n equations for 2n desired real-valued functions. The function theory associated with the ...