Abstract

This paper deals with fractional boundary value problems involving the Hilfer–Hadamard fractional differential operator of order [Formula: see text] and type [Formula: see text]. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer–Hadamard 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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