Controllability of ψ-Hilfer fractional differential equations with infinite delay via measure of noncompactness

被引：3
|
作者：
Haque, Inzamamul [1 ]
Ali, Javid [1 ]
Nieto, Juan J. [2 ,3 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
[2] Ctr Invest & Tecnol Matemat Galicia CITMAga, La Coruna, Spain
[3] Univ Santiago De Compostela, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2024年 / 29卷 / 02期
关键词：
controllability; 0-Hilfer fractional differential equations; measure of noncompactness; fixed point theorem; SYSTEMS; EXISTENCE;
D O I：
10.15388/namc.2024.29.34706
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the controllability of 0-Hilfer fractional differential equations with infinite delay. Sufficient conditions for controllability results are obtained by using the notion of the measure of noncompactness and the Monch fixed point theorem. The novel feature of this study is to inquire into the controllability notion by using 0-Hilfer fractional derivative, the generalized variant of the Hilfer derivative. Finally, we provide a numerical example to illustrate our main result.
引用
收藏
页码：379 / 399
页数：21
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