Controllability of Neutral Fractional Functional Differential Equations with Two Caputo Fractional Derivatives
Year: 2024
Author: Qi Wang, Shumin Zhu
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 949–969
Abstract
Multiple fractional derivatives enrich the dynamic properties of fractional differential equations. This paper concerns with neutral fractional functional differential equations with two Caputo fractional derivatives. By using the fixed point methods with the fractional integral inequalities, the existence results and controllability of the equations are considered in the cases of finite delay and infinite delay, respectively. An example is given to illustrate the main results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.949
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 949–969
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Neutral Caputo fractional functional differential equations controllability fractional integral inequalities fixed point theorems.