2019 Controllability of nonlinear impulsive integro-differential fractional time-invariant systems
Yong Huang, Zhenhai Liu
J. Integral Equations Applications 31(3): 329-341 (2019). DOI: 10.1216/JIE-2019-31-3-329

Abstract

We consider controllability of nonlinear impulsive integro-differential fractional time-invariant systems. We first give a solution expression for linear impulsive fractional time-invariant systems. By the Schauder fixed point theorem, sufficient conditions for the controllability of nonlinear impulsive integro-differential fractional time-invariant systems are obtained.

Citation

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Yong Huang. Zhenhai Liu. "Controllability of nonlinear impulsive integro-differential fractional time-invariant systems." J. Integral Equations Applications 31 (3) 329 - 341, 2019. https://doi.org/10.1216/JIE-2019-31-3-329

Information

Published: 2019
First available in Project Euclid: 2 November 2019

zbMATH: 07159847
MathSciNet: MR4027251
Digital Object Identifier: 10.1216/JIE-2019-31-3-329

Keywords: Controllability , impulsive fractional systems , Schauder fixed point theorem , time-invariant systems

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

Vol.31 • No. 3 • 2019
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