On a problem for mixed type equation with partial riemann-liouville fractional derivative

Abstract

The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order. The boundary condition contains a linear combination of generalized operators of fractional order with the Gauss hypergeometric function. The solution of the problem is given explicitly.

Keywords

• boundary value problem
• generalized fractional integro-differentiation operator
• differential equation of fractional order
• gauss hypergeometric function