Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4. (1st April 2019)

• Record Type: Journal Article
• Authors: Bachar, Imed; Eltayeb, Hassan
• Other Names: Wu Shanhe Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-04-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/4605076
• Languages: English
• ISSNs: 2314-8896

Abstract

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