Boundary value problem for the fractional-loaded Lavrent’ev-Bitsadze equation

Authors

  • A.Kh. Attaev
  • S.A. Iskakov
  • M.I. Ramazanov

DOI:

https://doi.org/10.31489/2017m3/33-42

Keywords:

boundary value problem, loaded equations, fractional derivative, method of separation of variable

Abstract

In this paper we study the boundary value problem for a fractional - loaded Lavrent’ev-Bitsadze equation in a rectangular domain with nonlocal boundary conditions. Similar boundary value problems were studied in papers [1-3]. The problem studied in this paper differs from the problems considered earlier in that, firstly, the domain in the hyperbolic part is not characteristic, and secondly, there are fractional - loaded terms in the equation, which makes it possible to reveal certain features of the problem under consideration.

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Published

2017-09-29

Issue

Section

MATHEMATICS