Discussion on the controllability results for fractional neutral impulsive Atangana-Baleanu delay integro-differential systems

被引：21
|
作者：
Williams, W. Kavitha [1 ]
Vijayakumar, V. [1 ]
机构：
[1] Vellore Inst Technol, Dept Math, Sch Adv Sci, Vellore 632014, Tamil Nadu, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年
关键词：
Atangana-Baleanu fractional derivative; controllability; Darbo's fixed point theorem; impulsive system; integro-differential equations; neutral system; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; MITTAG-LEFFLER; EXISTENCE; MODEL; DERIVATIVES;
D O I：
10.1002/mma.7754
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This manuscript is mainly focusing on the existence of Atangana-Baleanu semilinear fractional integro-differential equations with noninstantaneous impulses. The outcomes are proved via Darbo's fixed point theorem and their results when combined with the properties of the measure of noncompactness. Finally, we present a theoretical application to support the validity of the study.
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页数：16
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