In this paper, we investigate the existence of solutions for a nonlinear fractional differential equation with a more general form of nonlocal strip condition. The nonlocal parameters involved in the strip condition allow to fix the strip with arbitrary choices of these parameters. Our existence results rely on Leray-Schauder degree theory and fixed point theorems due to Banach and Krasnoselskii. Some illustrative examples are also discussed.

fractional differential equations, nonlocal integral boundary conditions, existence, fixed point theorems.