Year: 2023
Author: Chunshuo Li, Qing Zhang, Qiaoluan Li
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 763–781
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.763
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 763–781
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Higher-order weighted fractional derivative Caputo-Fabrizio derivative existence.