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Lyapunov-Type Inequalities for Systems of Riemann–Liouville Fractional Differential Equations with Multi-Point Coupled Boundary Conditions

Y. Zou,Yujun Cui

2023 · DOI: 10.3390/fractalfract7060454
Fractal and Fractional · 2 Citations

Abstract

We consider a system of Riemann–Liouville fractional differential equations with multi-point coupled boundary conditions. Using some techniques from matrix analysis and the properties of the integral operator defined on two Banach spaces, we establish some Lyapunov-type inequalities for the problem considered. Moreover, the comparison between two Lyapunov-type inequalities is given under certain special conditions. The inequalities obtained compliment the existing results in the literature.