Lyapunov-type inequality for a fractional boundary value problem with natural conditions
Classical Analysis and ODEs
2018-03-06 v1
Abstract
We derive a new Lyapunov type inequality for a boundary value problem involving both left Riemann--Liouville and right Caputo fractional derivatives in presence of natural conditions. Application to the corresponding eigenvalue problem is also discussed.
Keywords
Cite
@article{arxiv.1704.07247,
title = {Lyapunov-type inequality for a fractional boundary value problem with natural conditions},
author = {Assia Guezane-Lakoud and Rabah Khaldi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1704.07247},
year = {2018}
}
Comments
This is a preprint of a paper whose final and definite form is with 'SeMA Journal', ISSN: 2254-3902 (Print) 2281-7875 (Online). Submitted 05-March-2017; Article revised 04-Apr-2017; Article accepted for publication 24-Apr-2017