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On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions (1811.10706v1)
Published 26 Nov 2018 in math.CA
Abstract: This paper presents some sufficient conditions for the existence of solutions of fractional differential equation with nonlocal multi-point boundary conditions involving Caputo fractional derivative and integral boundary conditions. Our analysis relies on the Banach contraction principle, Boyd and Wong fixed point theorem, Leray-Schauder nonlinear alternative. Finally, examples are provided to illustrate our main results.