Lyapunov-type inequalities for $(\mathtt{n},\mathtt{p})$-type nonlinear fractional boundary value problems

Authors: PAUL W. ELOE, MURALEE BALA KRUSHNA BODDU

Abstract: This paper establishes Lyapunov-type inequalities for a family of two-point $(\mathtt{n},\mathtt{p})$-type boundary value problems for Riemann-Liouville fractional differential equations. To demonstrate how the findings can be applied, we provide a few examples, one of which is a fractional differential equation with delay.

Keywords: Fractional derivative, boundary value problem, Green's function, Lyapunov-type inequality

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