Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 57, pp. 1-7.

Title: Boundary problems for mixed parabolic-hyperbolic equations with
       two lines of changing type and fractional derivative

Author: Bakhtiyor J. Kadirkulov (Tashkent State Institute, Tashkent, Uzbekistan)

Abstract:
 In this article, we study a boundary value problem for a
 parabolic-hyperbolic  equation with Caputo fractional derivative.
 Under certain conditions, we prove its unique solvability
 using methods of integral equations and Green's functions.

Submitted January 21, 2014. Published February 28, 2014.
Math Subject Classifications: 35M10.
Key Words: Parabolic-hyperbolic equation;  Tricomi problem;
           Caputo fractional derivative; diffusion equation;
           Green's function; Volterra integral equation.