In the present work, we have considered a non-local boundary problem with integral matching conditions for mixed type equation,involving fractional diffusion and wave equations. Using specific algorithm we find solution of considered problem in an explicit form. The proof is based on the method of characteristics, Green's function, Voltera integral equations and solution of a second order ordinary differential equation.
- Caputo derivative
- Integral form transmitting condition
- Mixed type equation
ASJC Scopus subject areas
- Modelling and Simulation