@article{Jiang2022, 
author = {Dinghong Jiang and Chuanzhi Bai},
title = {On coupled Gronwall inequalities involving a    ψ-fractional integral operator with its applications},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {7728-7741},
keywords = {ψ-fractional operators, generalized coupled Gronwall inequality, delay ψ-Caputo fractional differential system, existence and uniqueness, Ulam-Hyers stability},
url = {https://www.sciopen.com/article/10.3934/math.2022434},
doi = {10.3934/math.2022434},
abstract = {In this paper, we obtain a new generalized coupled Gronwall inequality through the Caputo fractional integral with respect to another function    ψ. Based on this result, we prove the existence and uniqueness of solutions for nonlinear delay coupled    ψ-Caputo fractional differential system. Moreover, the Ulam-Hyers stability of solutions for    ψ-Caputo fractional differential system is discussed. An example is also presented to demonstrate the application of main results.}
}