@Article{JNMA-5-763, author = {Li , ChunshuoZhang , Qing and Li , Qiaoluan}, 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 = {http://global-sci.org/intro/article_detail/jnma/22207.html} }