TY - JOUR
T1 - Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for a Mixed Fractional Boundary Value Problem
AU - Liu , Yani
AU - Li , Qiaoluan
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 207
EP - 219
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.207
UR - https://global-sci.org/intro/article_detail/jnma/20704.html
KW - Fractional derivative, Lyapunov-type inequality, Fixed point theorem.
AB - <p style="text-align: justify;">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.</p>