Lyapunov inequalities for nabla Caputo boundary value problems

2018/12/23 by Areeba Ikram
Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · doi:10.1080/10236198.2018.1560433

openalex publication_date 2018/12/23 · openalex created_date 2019/01/01 · openalex updated_date 2026/07/28

Abstract

We will establish uniqueness of solutions to boundary value problems involving the nabla Caputo fractional difference under two-point boundary conditions and give an explicit expression for the Green's functions for these problems. Using the Green's functions for specific cases of these boundary value problems, we will then develop Lyapunov inequalities for certain nabla Caputo BVPs.

Related

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• Green's function for higher-order boundary value problems involving a nabla Caputo fractional operator
• Nabla Discrete fractional Calculus and Nabla Inequalities
• Recent developments of Lyapunov-type inequalities for fractional differential equations