A generalized Lyapunov-type inequality in the frame of conformable derivatives

A generalized Lyapunov-type inequality in the frame of conformable derivatives

Abstract We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order α ∈ ( 1 , 2 ] $\alpha \in (1,2]$ . Indeed, it is shown that if the boundary value problem ( T α c x ) ( t ) + r ( t ) x ( t ) = 0 , t ∈ ( c , d ) , x ( c ) = x ( d ) = 0 $$ \bigl(\textbf{...

Full description

Bibliographic Details
Main Authors: Thabet Abdeljawad, Jehad Alzabut, Fahd Jarad
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
Lyapunov inequality
conformable derivative
Green’s function
boundary value problem
Sturm-Liouville eigenvalue problem
Online Access:http://link.springer.com/article/10.1186/s13662-017-1383-z

Internet

http://link.springer.com/article/10.1186/s13662-017-1383-z

Similar Items