A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems
Abstract
This paper deals with fractional boundary value problems involving the Hilfer fractional differential operator of order 1 < α ≤ 2 and type 0 ≤ β ≤ 1. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green's functions and deduce their important properties.
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