Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4

Author:

Bachar Imed1ORCID,Eltayeb Hassan1ORCID

Affiliation:

1. King Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (BVP): Tαaut+q(t)u(t)=0,a<t<b,u(a)=u(a)=u(a)=u(b)=0, where Tαa is the conformable fractional derivative of order α(3,4] and q is a real-valued continuous function. Some applications to the corresponding eigenvalue problem are discussed.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

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