Finite-approximate controllability of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions

被引：0

作者：

Ding, Yonghong ^{[1
]}

Li, Yongxiang ^{[2
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741000, Peoples R China

[2] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 03期

关键词：

psi-Caputo fractional derivative; Nonlocal problem; Impulsive; Finite-approximate controllability; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; EXISTENCE; ORDER; RESPECT;

D O I：

10.1007/s13540-023-00164-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a class of impulsive psi-Caputo fractional evolution equations with nonlocal initial conditions. Firstly, an explicit form of the mild solutions to the considered impulsive problem is derived by applying the generalized Laplace transforms. Then, with the aid of the fixed point theorem, multiple approximation techniques and diagonal argument, we investigate the existence and finite-approximate controllability of mild solutions for the problem. Finally, we present an example to illustrate the feasibility of our results.

引用

页码：1326 / 1358

页数：33

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