TY - JOUR
T1 - Controllability of Neutral Fractional Functional Differential Equations with Two Caputo Fractional Derivatives
AU - Wang , Qi
AU - Zhu , Shumin
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 949
EP - 969
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.949
UR - https://global-sci.org/intro/article_detail/jnma/23665.html
KW - Neutral Caputo fractional functional differential equations, controllability, fractional integral inequalities, fixed point theorems.
AB - <p style="text-align: justify;">Multiple fractional derivatives enrich the dynamic properties of
fractional differential equations. This paper concerns with neutral fractional
functional differential equations with two Caputo fractional derivatives. By
using the fixed point methods with the fractional integral inequalities, the
existence results and controllability of the equations are considered in the
cases of finite delay and infinite delay, respectively. An example is given to
illustrate the main results.</p>