A generalized Lyapunov's inequality for a fractional boundary value problem
arXiv:1604.00671 · doi:10.1016/j.cam.2016.03.035
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.
arXiv commentThis 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
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