Nonlinear Gronwall–Bellman Type Inequalities and Their Applications

In this paper, some nonlinear Gronwall–Bellman type inequalities are established. Then, the obtained results are applied to study the Hyers–Ulam stability of a fractional differential equation and the boundedness of solutions to an integral equation, respectively.

Bibliographic Details
Main Authors: Weimin Wang, Yuqiang Feng, Yuanyuan Wang
Format: Article
Language:English
Published: MDPI AG 2017-05-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/5/2/31