Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for a Mixed Fractional Boundary Value Problem
Year: 2022
Author: Yani Liu, Qiaoluan Li
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 207–219
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.207
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 207–219
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Fractional derivative Lyapunov-type inequality Fixed point theorem.