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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:312

Article; Proceedings Paper

Chidouh, Amar¹  Torres, Delfim F. M.² 

[1] Houari Boumedienne Univ, Lab Dynam Syst, Algiers, Algeria

[2] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

关键词: Fractional differential equations;    Lyapunov's inequality;    Boundary value problem;    Positive solutions;    Guo-Krasnoselskii fixed point theorem;   

DOI  :  10.1016/j.cam.2016.03.035

来源: Elsevier

【 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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free