Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven. © 2022 John Wiley & Sons, Ltd.