TITLE:
Lyapunov-Type Inequalities for Conformable BVP
AUTHORS:
Xia Wang, Run Xu
KEYWORDS:
Lyapunov-Type Inequalities, Conformable Fractional Derivative, Green’s Function, Eigenvalue
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.7,
July
27,
2018
ABSTRACT: In this paper, we present
Lyapunov-type inequality for conformable BVP with
the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding
boundary conditions. We obtain the Lyapunov-type inequality by a construction
Green’s function and get its corresponding maximum value. Application to the
corresponding eigenvalue problem is also discussed.