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

页码：383 / 400

页数：18

共 50 条

[1] Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations
Ahmed, A. M. Sayed
AL-Nahhas, Mahmoud A.
Omar, Othman A. M.
Chalishajar, Dimplekumar N.
Ahmed, Hamdy M.
RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
[2] Approximate controllability of impulsive Hilfer fractional differential inclusions
Du, Jun
Jiang, Wei
Niazi, Azmat Ullah Khan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 595 - 611
[3] A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
Dineshkumar, C.
Udhayakumar, R.
Vijayakumar, V.
Nisar, Kottakkaran Sooppy
CHAOS SOLITONS & FRACTALS, 2021, 142
[4] On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential
Zhang, Chuanlin
Ye, Guoju
Liu, Wei
Liu, Xuelong
CHAOS SOLITONS & FRACTALS, 2024, 183
[5] Controllability of Impulsive Fractional Integro-Differential Evolution Equations
Haide Gou
Yongxiang Li
Acta Applicandae Mathematicae, 2021, 175
[6] Controllability of Impulsive Fractional Integro-Differential Evolution Equations
Gou, Haide
Li, Yongxiang
ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
[7] NULL CONTROLLABILITY OF ?-HILFER IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL NONLOCAL CONDITIONS
Kerboua, Mourad
Bouacida, Ichrak
Segni, Sami
EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1473 - 1491
[8] Controllability of impulsive hybrid integro-differential systems
Sivasundaram, S.
Uvah, Josaphat
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1003 - 1009
[9] Discussion on iterative process of nonlocal controllability exploration for Hilfer neutral impulsive fractional integro-differential equation
Muthuselvan, Kanagaraj
Sundaravadivoo, Baskar
Nisar, Kottakkaran Sooppy
Alsaeed, Suliman
AIMS MATHEMATICS, 2023, 8 (07): : 16846 - 16863
[10] CONTROLLABILITY OF HILFER TYPE FRACTIONAL EVOLUTION NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH NON-INSTANTANEOUS IMPULSES
Sanjay, K.
Balasubramaniam, P.
EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, : 600 - 625

← 1 2 3 4 5 →