In the present work, interaction between electrons and holes in semiconductor materials is investigated. According to excitation process, optical-elastic-thermal-diffusion (OETD) process considered when medium exposed a strong magnetic field laser pulses. Photo-elastic photo-electronics deformations are taken into account Hall current impact appears due pressure on medium. Due complexity of mod...

We study the rapid stabilization of heat equation on 1-dimensional torus using backstepping method with a Fredholm transformation. This classical framework allows us to present transformations for Laplace operator in sharp functional setting, which is main objective this work. first prove that, under some assumptions control operator, two scalar controls are necessary and sufficient get control...

This paper studies a Laplace operator on semi-discrete surfaces. A semidiscrete surface is represented by a mapping into three-dimensional Euclidean space possessing one discrete and one continuous variable. It can be seen as a limit case of a quadrilateral mesh, or as a semi-discretization of a smooth surface. Laplace operators on both smooth and discrete surfaces have been an object of intere...

‎Several modifications of the Laplace distribution have been introduced and applied in various fields up to this day‎. ‎In this paper‎,  ‎we introduce a modified symmetric version of the classical Laplace distribution‎.  ‎We provide a comprehensive theoretical description of this distribution‎. ‎In particular‎, ‎we derive the formulas for th...

this article is devoted to study of the autoconvolution equations and generalized mittag-leffler functions. these types of equations are given in terms of the laplace transform convolution of a function with itself. we state new classes of the autoconvolution equations of the first kind and show that the generalized mittag-leffler functions are solutions of these types of equations. in view of ...

This paper continues the study of metastable behaviour in disordered mean field models initiated in [2], [3]. We consider the generalized Hopfield model with finitely many independent patterns ξ1, . . . , ξP where the patterns have i.i.d. components and the components of patterns ξ1, . . . ξp have absolutely continuous distributions on [−1, 1] whereas the components of patterns ξp+1, . . . , ξP...

The integral transformations is a complicated function from space into simple in transformed space. Where the being characterized easily and manipulated through integration two parametric form of SEE transformation its basic characteristics have been demonstrated this study. few fundamental functions along with time derivative rule shown. It has how can be used to solve linear differential equa...

A unique methodology due to the effect of stochastic heating is utilized study Moisture Diffusivity influence an elastic semiconductor medium under photo-thermoelasticity theory. Accurately, random processes are applied at boundary medium. The governing equations expressed in one-dimensional form (1D). conditions considered random; additional noise regarded as white noise. problem set up invest...