Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for a Mixed Fractional Boundary Value Problem

Authors

  • Yani Liu
  • Qiaoluan Li

DOI:

https://doi.org/10.12150/jnma.2022.207

Keywords:

Fractional derivative, Lyapunov-type inequality, Fixed point theorem.

Abstract

In this paper, a Lyapunov-type inequality for a linear differential equation involving right Riemann-Liouville and left Caputo fractional derivatives under Sturm-Liouville boundary conditions is established. Furthermore, the existence of solutions for the corresponding nonlinear differential equation is obtained by fixed point theorems.

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Published

2024-04-10

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Issue

Vol. 4 No. 2 (2022)

Section

Articles

How to Cite

Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for a Mixed Fractional Boundary Value Problem. (2024). Journal of Nonlinear Modeling and Analysis, 4(2), 207-219. https://doi.org/10.12150/jnma.2022.207