A Study of Sobolev Type Fractional Impulsive Differential Systems with Fractional Nonlocal Conditions

被引：0
作者：
Singh V. [1 ]
Pandey D.N. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee
来源：
International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 1期
关键词：
Fractional differential system; Measure of noncompactness; Monotone iterative technique; Upper and lower solutions;
D O I：
10.1007/s40819-017-0453-y
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence and uniqueness of mild solutions for Sobolev type fractional impulsive differential systems with fractional order nonlocal conditions by applying monotone iterative technique coupled with the method of lower and upper solutions. The sufficient conditions are obtained by measure of noncompactness and generalized Gronwall inequality. Finally, an application is given to illustrate the obtained results. © 2017, Springer (India) Private Ltd., part of Springer Nature.
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