On a Problem for a Mixed-Type Equation With Fractional Derivative

Abstract

For a mixed-type equation with the Riemann–Liouville partial fractional derivative we study a problem where the boundary condition contains a linear combination of generalized fractional operators with the Gauss hypergeometric function. We find a solution to the considered problem explicitly by solving an equation with fractional derivatives of various orders and prove the uniqueness of the solution for various values of parameters of the mentioned operators.

Identifiers

DOI

10.3103/s1066369x18080066

Citations and references