On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines

Abstract

The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics are pointwise related to the solution and its normal derivatives values on the lines of a parabolic degeneracy in its hyperbolic parts.

Keywords

• nonlocal problem
• regular solution
• operators of fractional integro-differentiation
• cauchy problem
• fredholm equation
• singular integral equation with cauchy kernel
• regularizer
• abel equation