Extremal mild solutions to fractional delay integro-differential equations with non-instantaneous impulses

被引：5

作者：

Chaudhary, Renu ^{[1
]}

Reich, Simeon ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, Haifa, Israel

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 07期

基金：

以色列科学基金会;

关键词：

Fractional differential equations; measure of noncompactness; monotone iterative technique; non-instantaneous impulses; semigroup theory; ABSTRACT DIFFERENTIAL-EQUATIONS; MONOTONE ITERATIVE TECHNIQUE;

D O I：

10.1080/00036811.2021.2011245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of extremal mild solutions to fractional delay integro-differential equations with non-instantaneous impulses by employing the monotone iterative technique coupled with the method of lower and upper solutions. Our existence results are established by appealing to two different theories. In our first result, the semigroup generated by the linear operator associated with the problem is assumed to be compact. On the other hand, in our second result, the semigroup need not be compact and our conclusions are obtained using the theory of measures of noncompactness. In order to illustrate our results, we also discuss a concrete problem regarding heat conduction in a metal bar with predefined impulsive points.

引用

页码：1975 / 1994

页数：20

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