Controllability of coupled systems for impulsive φ-Hilfer fractional integro-differential inclusions

被引：9
|
作者：
Boudjerida, A. [1 ]
Seba, D. [1 ]
N'Guerekata, G. M. [2 ]
机构：
[1] Univ Mhamed Bougara Boumerdes, Dynam Engines & Vibroacoust Lab, Boumerdes, Algeria
[2] Morgan State Univ, Dept Math, Baltimore, MD 21239 USA
来源：
APPLICABLE ANALYSIS | 2022年 / 101卷 / 02期
关键词：
phi-Hilfer fractional derivative; controllability results; impulses; integro-differential inclusions; fixed point theorem; coupled system; nonlocal integral conditions; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; ORDER; EXISTENCE;
D O I：
10.1080/00036811.2020.1742884
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving phi-Hilfer fractional derivative and subject to coupled nonlocal integral initial conditions in the case of convex set-valued maps. Some auxiliary conditions are introduced in order to apply a fixed point theorem due to Bohnenblust-Karlin. An illustrative example is provided to exemplify our theoretical results.
引用
收藏
页码：383 / 400
页数：18
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