Some new Gronwall-type inequalities arising in the research of fractional differential equations

Journal of inequalities and applications

Qinghua Feng¹ 

关键词: Gronwall-type inequality;    fractional differential equation;    qualitative analysis;    quantitative analysis;   

DOI  :  10.1186/1029-242X-2013-429

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some new Gronwall-type inequalities, which can be used as a handy tool in the qualitative and quantitative analysis of the solutions to certain fractional differential equations, are presented. The established results are extensions of some existing Gronwall-type inequalities in the literature. Based on the inequalities established, we investigate the boundedness, uniqueness, and continuous dependence on the initial value and parameter for the solution to a certain fractional differential equation. MSC:26D10.

【 授权许可】

CC BY