TY - JOUR
T1 - Existence Results for the Higher-Order Weighted Caputo-Fabrizio Fractional Derivative
AU - Li , Chunshuo
AU - Zhang , Qing
AU - Li , Qiaoluan
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 763
EP - 781
PY - 2023
DA - 2023/12
SN - 5
DO - http://doi.org/10.12150/jnma.2023.763
UR - https://global-sci.org/intro/article_detail/jnma/22207.html
KW - Higher-order weighted fractional derivative, Caputo-Fabrizio derivative, existence.
AB - <p style="text-align: justify;">By the definition of the higher-order fractional derivative, we explore the central properties of the higher-order Caputo-Fabrizio fractional
derivative and integral with a weighted term. Furthermore, by dint of Schaefer’s fixed point theorem, $α$-$\psi$-Contraction theorem, etc., we establish the existence of solutions for nonlinear equations. We also give three examples to
make our main conclusion clear.</p>