Lyapunov-Type Inequalities for Riemann-Liouville Type Fractional Boundary Value Problems with Fractional Boundary Conditions

Authors : Jagan Mohan JONNALAGADDA, Dipak Kumar SATPATHİ, Debananda BASUA

Pages : 53-63

Doi:10.31197/atnaa.471245

View : 9 | Download : 6

Publication Date : 2019-06-30

Article Type : Research Paper

Abstract :In this article, we establish Lyapunov-type inequalities for two-point Riemann-Liouville type fractional boundary value problems associated with well-posed fractional boundary conditions. To illustrate the applicability of established results, we estimate lower bounds for eigenvalues of the corresponding eigenvalue problems and deduce criteria for the nonexistence of real zeros of certain Mittag-Leffler functions.
Keywords : Riemann Liouville type fractional derivative, boundary value problem, Green`s function, Lyapunov type inequality