A generalized Lyapunov’s inequality for a fractional boundary value problem

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摘要

We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov’s inequality. The new results are illustrated through examples.

论文关键词：26A33,34A08,Fractional differential equations,Lyapunov’s inequality,Boundary value problem,Positive solutions,Guo–Krasnoselskii fixed point theorem

论文评审过程：Received 30 September 2015, Revised 22 February 2016, Available online 8 April 2016, Version of Record 17 October 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2016.03.035