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

Year 2019, Volume: 3 Issue: 2, 53 - 63, 30.06.2019

Jagan Mohan Jonnalagadda , Dipak Kumar Satpathi Debananda Basua

https://doi.org/10.31197/atnaa.471245

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

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