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Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition (2205.02325v1)
Published 4 May 2022 in math.CA
Abstract: In this paper, we consider a linear fractional differential equation with fractional boundary conditions. First, by obtaining Green's function, we derive the Lyapunov-type inequalities for such boundary value problems. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution to a nonlinear problem.