Uniqueness of solutions to Dirichlet problems for generalized Lavrent'ev-Bitsadze equations with a fractional derivative

Abstract

In this article we study the uniqueness of the solution of the Dirichlet problem for an equation of Lavrent'ev-Bitsadze type with a fractional derivative. The equation studied becomes the regular Lavrent'ev-Bitsadze equation when the order of the derivative is an integer.