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

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.

Bibliographic Details
Main Author: Guezane-Lakoud, Assia (author)
Other Authors: Khaldi, Rabah (author), Torres, Delfim F. M. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Fractional calculus
Lyapunov inequality
Eigenvalue problem
Online Access:http://hdl.handle.net/10773/24508
Country:Portugal
Oai:oai:ria.ua.pt:10773/24508
Description
Summary: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.

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