@Article{JNMA-5-4, author = {Li, Chunshuo and Zhang, Qing and Qiaoluan, Li}, title = {Existence Results for the Higher-Order Weighted Caputo-Fabrizio Fractional Derivative}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {4}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.763}, url = {https://global-sci.com/article/87901/existence-results-for-the-higher-order-weighted-caputo-fabrizio-fractional-derivative} }