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

页码：801 / 816

页数：16

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