Monotone Iterative Technique for Nonlocal Impulsive Finite Delay Differential Equations of Fractional Order

被引：2
|
作者：
Jeet, Kamal [1 ]
Sukavanam, N. [1 ]
Bahuguna, D. [2 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2022年 / 30卷 / 04期
关键词：
Impulsive fractional differential equations; Finite delay; Semigroup theory; Monotone iterative technique; Lower and upper solutions; Kuratowskii measure of noncompactness; EXISTENCE;
D O I：
10.1007/s12591-019-00498-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the extension of a monotone iterative technique to impulsive finite delay differential equations of fractional order with a nonlocal initial condition in an ordered Banach space. We study the existence of extremal mild solutions with or without assuming the compactness of a semigroup and also prove the uniqueness of the mild solution of the system. The results are obtained with the help of fractional calculus, a measure of non-compactness, the semigroup theory and monotone iterative technique. Finally, an example is provided to show the application of our main.
引用
收藏
页码：801 / 816
页数：16
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