Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs

Journal of inequalities and applications

Haidong Liu¹ 

关键词: integral inequalities;    singular kernel;    fractional differential equations;    boundedness;   

DOI  :  10.1186/s13660-015-0726-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate some nonlinear integral inequalities with weakly singular kernel which can be used as tools in deriving boundedness of the solutions of certain fractional differential equations and integral equations. Our results generalize and improve some results in the literature. Besides, we give some applications for some fractional differential equations involving the Riemann-Liouville derivative and the Caputo derivative, respectively.

【 授权许可】

CC BY