Lyapunov-type inequality for a fractional boundary value problem with natural conditions

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.

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

References in corpus (2)

• The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
• A generalized Lyapunov's inequality for a fractional boundary value problem

Cited by in corpus (2)

• Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
• Lyapunov inequality for a boundary value problem involving conformable derivative