In this article we obtain the first passage time distribution of α-stable Levy processes. We derive moment estimators parameters α-inverse Gaussian laws and also their asymptotic distribution.

It is well known that for laminated composite plates a Levy-type solution exists only for cross-ply and antisymmetric angle-ply laminates. Numerous investigators have used the Levy method to solve the governing equations of various equivalent single-layer plate theories. It is the intension of the present study to introduce a method for analytical solutions of laminated composite plates with ar...

If the rules that regulate a market allow speculation then prices in that market become volatile. It is possible to model the fluctuations in these prices as random variables. The empirical distributions of these random variables are unusual; they are distinctly non-Gaussian. They belong to a class of distributions called Levy stable distributions and have paradoxical properties. The processes ...

We propose fractional Fokker-Planck equation for the kinetic description of relaxation and superdiffusion processes in constant magnetic and random electric fields. We assume that the random electric field acting on a test charged particle is isotropic and possesses non-Gaussian Levy stable statistics. These assumptions provide us with a straightforward possibility to consider formation of anom...