UNIQUENESS OF A SOLUTION TO THE DIRICHLET PROBLEM FOR A MULTIDIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2018, Vol 4, Issue
Abstract
The uniqueness theorem for the solution of the Dirichlet problem for a multidimensional partial differential equation of fractional order in an unbounded domain is proved. The equation under study is an equation of the second order elliptic type when the orders of fractional derivatives are integer.
Authors and Affiliations
Olesya Masaeva
SYMMETRY GROUPS FOR PAINLEVE EQUATIONS
In this study, one-parametric symmetry groups were found for 50 canonical equations with Painleve property, and, in special cases, general solutions were obtained. The result can be used as reference for specialists in t...
OPTIMIZATION OF ADAPTIVE MATCHING PURSUIT METHOD TO ANALYZE GEOACOUSTIC EMISSION SIGNALS
The paper is devoted to the development and comparison of different numerical methods which increase the adaptive property and improve the accuracy of matching pursuit algorithm in connection to geoacoustic signals. At e...
THE ANALYSIS OF SYSTEM OF THE EQUATIONS OF DYNAMICS OF THE FLEXIBLE THREAD
Mathematical modeling of dynamics of a flexible thread is spent. The technique which reduces an initial problem about dynamics of a flexible thread to a problem supposing simple realization for numerical algorithms is of...
LIDAR STUDIES OF THE DYNAMICS OF THE VERTICAL TEMPERATURE DISTRIBUTION IN THE STRATOSPHERE OVER TOMSK IN 2016 YEAR
One of the important applications of lidar technologies is the study of the thermal regime of the atmosphere. Such studies in the monitoring mode at the Institute of Atmospheric Optics of the SB RAS have been launched si...
MATHEMATICAL MODELING OF FRACTAL DIMENSION GEOMEDIUM
We propose an algorithm for estimating the fractal dimension of time series of radon fields. Some regularities of the fractal dimension with the seismic activity in South Kamchatka.