Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing

In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations. © 2022 John Wiley & Sons, Ltd.