Well-posedness for multi-point BVPs for fractional differential equations with Riesz-Caputo derivative

n this work, a class of nonlinear multi-point BVPs fractional differential equations involving the Riesz-Caputo derivative is proposed. The nonlinearity term f involves the left Caputo derivative. Under given some conditions, the existence and uniqueness of the solution are provided. Our analysis relies on the Krasnoselskii's fixed point theorem, Schauder fixed point theorem and the Banach contraction principle. Finally, some examples are given to illustrate our main results.