Existence Results for the Higher-Order Weighted Caputo-Fabrizio Fractional Derivative.

Autor: Chunshuo Li, Qing Zhang, Qiaoluan Li
Předmět:
Zdroj: Journal of Nonlinear Modeling & Analysis; 2023, Vol. 5 Issue 4, p763-781, 19p
Abstrakt: By the definition of the higher-order fractional derivative, we ex-plore 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, ff--Contraction theorem, etc., we establish the existence of solutions for nonlinear equations. We also give three examples to make our main conclusion clear. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index