Lyapunov-Type Inequalities for Fractional Differential Equations

Department

Mathematics and Statistics

Abstract

We obtain Lyapunov-type inequalities for higher order fractional differential equations subject to a fractional boundary condition. In the process, we obtain properties of the Green's function that are applied to show the existence of unique solutions of nonlinear fractional boundary value problems.

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Lyapunov-Type Inequalities for Fractional Differential Equations

We obtain Lyapunov-type inequalities for higher order fractional differential equations subject to a fractional boundary condition. In the process, we obtain properties of the Green's function that are applied to show the existence of unique solutions of nonlinear fractional boundary value problems.