期刊论文

Zhao, YG;Yan, R

英文

Fractal and Fractional

2504-3110

2025

9

9

615-

10.3390/fractalfract9090615

Conceptualization, Y.Z. and R.Y.; methodology, R.Y.; validation, Y.Z. and R.Y.; formal analysis, Y.Z. and R.Y.; investigation, Y.Z. and R.Y.; writing—original draft preparation, R.Y.; writing—review and editing, Y.Z.; funding acquisition, Y.Z. and R.Y. All authors have read and agreed to the published version of the manuscript. This research was funded by National Natural Science Foundation of China (12201199, 61703180), and Science and Technology Program of University of Jinan (1008399).

本校为通讯机构

A class of boundary value problems for fractional differential systems involving variable-order derivatives is considered. Such problems can be transformed into some boundary value problems for nonlinear Caputo fractional differential systems. Here, the relations between linear Caputo fractional differential equations and their corresponding linear integral equations are investigated, and the results demonstrate that a proper Lipschitz-type condition is needed for studying nonlinear Caputo fractional differential equations. Then, an existence and uniqueness result is established in some vector...