Existence results for sequential fractional integro-differential equations with impulsive conditions

被引：0
|
作者：
Karthikeyan, P. [1 ]
Poornima, S. [1 ]
机构：
[1] Sri Vasavi Coll, Dept Math, Erode 638316, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 01期
关键词：
Sequential fractional differential equations; Impulses; Existence; Uniqueness;
D O I：
10.1007/s40435-023-01240-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the existence and uniqueness results for sequential fractional integro-differential equations with impulsive conditions. The nonlinear term contains the integral terms which are used to represent in the thermal conductivity of the material problems. Our methods are based on the fixed point theorems such as Banach fixed point theorem and Krasnoselskii's. We obtain the sufficient conditions of the existence of solutions. Examples are given to illustrate the results.
引用
收藏
页码：227 / 236
页数：10
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