- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 2
- Lyapunov-Type Inequalities for Riemann-Liouville Type Fractional Boundary Value Problems with Fracti...
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 : 4 | Download : 1
Publication Date : 2019-06-30
Article Type : Research
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