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arXiv · 2205.02325

Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition

Sougata Dhar·Jeffrey T. Neugebauer
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Abstract

In this paper, we consider a linear fractional differential equation with fractional boundary conditions. First, by obtaining Green's function, we derive the Lyapunov-type inequalities for such boundary value problems. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution to a nonlinear problem.

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Sougata Dhar, Jeffrey T. Neugebauer. 2022-05-04. Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition. https://arxiv.org/abs/2205.02325

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