English

Lyapunov inequality for a boundary value problem involving conformable derivative

Classical Analysis and ODEs 2017-10-31 v2

Abstract

We consider a boundary value problem involving conformable derivative of order α,\alpha , 1<α<21<\alpha <2 and Dirichlet conditions. To prove the existence of solutions, we apply the method of upper and lower solutions together with Schauder's fixed-point theorem. \ Futhermore, we give the Lyapunov inequality for the corresponding problem.

Keywords

Cite

@article{arxiv.1706.04594,
  title  = {Lyapunov inequality for a boundary value problem involving conformable derivative},
  author = {Rabah Khaldi and Guezane-Lakoud Assia},
  journal= {arXiv preprint arXiv:1706.04594},
  year   = {2017}
}

Comments

This is a preprint of a paper Accepted 15 May 2017 and whose final and definite form is published in Prog. Frac. Diff. Appl. See http://dx.doi.org/10.18576/pfda

R2 v1 2026-06-22T20:18:59.964Z