An analysis on approximate controllability results for impulsive fractional differential equations of order 1 < r < 2 with infinite delay using sequence method

被引：4
作者：
Mohan Raja, Marimuthu [1 ]
Vijayakumar, Velusamy [2 ]
Veluvolu, Kalyana Chakravarthy [1 ,3 ]
机构：
[1] Kyungpook Natl Univ, Sch Elect Engn, Daegu, South Korea
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India
[3] Kyungpook Natl Univ, Sch Elect Engn, Daegu 41566, South Korea
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
fractional derivative; impulsive systems; infinite delay; nonlocal conditions; sectorial operators; sequence method; NONLOCAL CONDITIONS; CAUCHY-PROBLEM; MILD SOLUTIONS; EXISTENCE; INCLUSIONS; SYSTEMS; ALPHA; UNIQUENESS;
D O I：
10.1002/mma.9657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we discuss the existence and approximate controllability results for impulsive fractional differential systems of order 1 < r < 2 with infinite delay. Sectorial operator of type (P, k, r, y), the nonlinear alternative of the Leray-Schauder fixed point theorem, sequence method, and impulsive systems have been used to establish these results. First, we investigate the existence of mild solutions for impulsive fractional differential equations of order 1 < r < 2. We also establish the approximate controllability results for the nonlocal fractional delay differential equations. An example is also given to illustrate our main results.
引用
收藏
页码：336 / 351
页数：16
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