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In this paper, we investigate the existence and uniqueness of solutions of non-local boundary value problems for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals. The uniqueness of solutions was proved based on the method of integral energy by using an extremume principle for the mixed type equation. The existence was proved based on the method of integral equations.
How to Cite this article:
Obidjon Kh. Abdullaev, On a non-local problem for a loaded mixed type equation with Caputo and Riemann-Liouville operators, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 48.