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Bayesian analysis for a fractional population growth model
(Hindawi Publishing Corporation Journal of Applied Mathematics, 2017-01-23)
We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison ...
Fractional stochastic heat equation on the Half-Line
(Applied Mathematical Sciences, 2016-11-12)
In this paper, we consider an initial-boundary value problem for a stochastic non-linear heat equation with Riemann-Liouville spacefractional derivative and white noise on the half-line. We construct the integral representation ...
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.