Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions

作者：Zheng, Zhaowen^*; Zhang, Yingjie; Shao, Jing

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 170.

DOI：10.1186/s13660-018-1762-3

• Nonlinear impulsive
• Differential and integral inequalities
• Nonlocal intergal jump conditions
• Riemann-Liouville fractional derivative

Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and integral inequalities; these inequalities have both nonlocal integral jump and weakly singular kernels. Finally, we give two examples of these inequalities in estimating solutions of certain equations with Riemann-Liouville fractional integral conditions.

• 出版日期2018-7-13
• 单位济宁学院; 北京应用物理与计算数学研究所; 曲阜师范大学