On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions

Resumo

This paper investigates the existence of solutions for a boundary value problem of nonlinear fractional differential equations with nonlocal boundary conditions. We use Banach fixed point theorem to prove an existence and uniqueness result. Then, by using O’Regan fixed point theorem, we prove an existence result. Finally, illustrative examples of our main results are presented.