Study on fractional random differential equations with not instantaneous impulses

被引：0
作者：
Harikrishnan, S. [1 ]
Kanagarajan, K. [2 ]
Elsayed, E. M. [3 ]
机构：
[1] PPG Coll Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India
[2] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
TBILISI MATHEMATICAL JOURNAL | 2021年 / 14卷 / 02期
关键词：
random differential equations; non-instantaneous impulse; fractional derivative; existence; stability;
D O I：
10.32513/tmj/19322008127
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence of solution for not instantaneous impulsive fractional differential equations with random parameter. By using fixed point theorems, we establish sufficient conditions for the existence and uniqueness of solutions. Finally, generalized Ulam Hyers Rassias stable solution is also obtained.
引用
收藏
页码：117 / 126
页数：10
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