A generalized Lyapunov's inequality for a fractional boundary value problem
Classical Analysis and ODEs
2016-10-19 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1604.00671,
title = {A generalized Lyapunov's inequality for a fractional boundary value problem},
author = {Amar Chidouh and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1604.00671},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form is in 'Journal of Computational and Applied Mathematics', ISSN: 0377-0427, available at [http://dx.doi.org/10.1016/j.cam.2016.03.035]. Submitted 30/Sept/2015; revised 22/Feb/2016; accepted 31/Mar/2016. Minor corrections, detected during the reading of the proofs, were done in this second version of the preprint