摘要：We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the Banach fixed point theorem. Also we study its continuous dependence on coefficients of the nonlocal condition. We discuss our results for more general boundary conditions, we present the existence of solutions under nonlocal integral conditions and also extend our results to an ordinary Sturm–Liouville problem. Two examples illustrating the main results are also presented.
关键词：Fractional Sturm–Liouville problem ; Caputo derivatives ; Existence and uniqueness ; Multi-point boundary condition ; Continuous dependence ; Riemann–Stieltjes integral condition
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