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

[11] Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
Bose, Chandrabose Sindhu Varun
Udhayakumar, Ramalingam
Elshenhab, Ahmed M.
Kumar, Marappan Sathish
Ro, Jong-Suk
FRACTAL AND FRACTIONAL, 2022, 6 (10)
[12] Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
Debbouche, Amar
Baleanu, Dumitru
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1442 - 1450
[13] CONTROLLABILITY OF NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL FRACTIONAL TIME-INVARIANT SYSTEMS
Huang, Yong
Liu, Zhenhai
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2019, 31 (03) : 329 - 341
[14] Controllability of fractional order integro-differential inclusions with infinite delay
Aissani, Khalida
Benchohra, Mouffak
Darwish, Mohamed Abdalla
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (52) : 1 - 18
[15] Complete controllability of impulsive stochastic integro-differential systems
Shen, Lijuan
Shi, Junping
Sun, Jitao
AUTOMATICA, 2010, 46 (06) : 1068 - 1073
[16] APPROXIMATE CONTROLLABILITY OF IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL SYSTEMS WITH NONLOCAL CONDITIONS IN HILBERT SPACE
Balasubramaniam, P.
Vembarasan, V.
Senthilkumar, T.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (02) : 177 - 197
[17] Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation
Jothilakshmi, G.
Vadivoo, B. S.
Almalki, Y.
Debbouche, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 410
[18] Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions
Wang, JinRong
Ibrahim, Ahmed Gamal
O'Regan, Donal
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (06): : 958 - 984
[19] Almost sectorial operators on ψ-Hilfer derivative fractional impulsive integro-differential equations
Karthikeyan, Kulandhivel
Karthikeyan, Panjaiyan
Baskonus, Haci Mehmet
Venkatachalam, Kuppusamy
Chu, Yu-Ming
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (13) : 8045 - 8059
[20] On ψ-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions
Arul, Ramasamy
Karthikeyan, Panjayan
Karthikeyan, Kulandhaivel
Geetha, Palanisamy
Alruwaily, Ymnah
Almaghamsi, Lamya
El-hady, El-sayed
FRACTAL AND FRACTIONAL, 2022, 6 (12)

← 1 2 3 4 5 →