UNIQUENESS OF A SOLUTION TO THE DIRICHLET PROBLEM FOR A MULTIDIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

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

Keywords

Related Articles

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.

Download PDF file
  • EP ID EP505563
  • DOI 10.18454/2079-6641-2018-24-4-50-53
  • Views 107
  • Downloads 0

How To Cite

Olesya Masaeva (2018). UNIQUENESS OF A SOLUTION TO THE DIRICHLET PROBLEM FOR A MULTIDIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION. Вестник КРАУНЦ. Физико-математические науки, 4(), 50-53. https://europub.co.uk/articles/-A-505563