"Lyapunov Inequality for a Boundary Value Problem Involving Conformable" by Rabah Khaldi and Assia Guezane-Lakoud

Progress in Fractional Differentiation & Applications

Article Title

Lyapunov Inequality for a Boundary Value Problem Involving Conformable Derivative

Authors

Rabah Khaldi, Laboratory of Advanced Materials, Departement of Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaFollow
Assia Guezane-Lakoud

Author Country (or Countries)

Algeria

Abstract

We consider a boundary value problem involving conformable derivative of order a, 1 < a < 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. Furthermore, we give the Lyapunov inequality for the corresponding problem.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/030407

Recommended Citation

Khaldi, Rabah and Guezane-Lakoud, Assia (2017) "Lyapunov Inequality for a Boundary Value Problem Involving Conformable Derivative," Progress in Fractional Differentiation & Applications: Vol. 3: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/030407
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol3/iss4/7

Download

COinS