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

被引：10

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

页码：383 / 400

页数：18

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