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Estimates of the Green function for the fractional Laplacian perturbed by gradient
Estimates of the Green function fractional Laplacian
2010/12/6
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturba-tions are comparable for bounded smooth multidimensional open s...
The Fractional Derives of a Fractal Function
Weierstrass function fractional derivatives dimensions of graphs of functions
2007/12/12
The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of ...
Constructive Fractional-Moment Criteria for Localization in Random Operators
Constructive Fractional-Moment Criteria Localization in Random Operators
2010/11/2
We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically...
SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
FRACTIONAL CALCULUS OPERATORS ANALYTIC FUNCTIONS NEGATIVE COEFFICIENTS
2010/3/17
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...