Open Access
2016 Controllability of fractional integrodifferential equations with state-dependent delay
Khalida Aissani, Mouffak Benchohra
J. Integral Equations Applications 28(2): 149-167 (2016). DOI: 10.1216/JIE-2016-28-2-149

Abstract

According to fractional calculus theory and Sadovskii's fixed point theorem, we establish sufficient conditions for controllability of the fractional integro-differential equation with state-dependent delay. An example is provided to illustrate the theory.

Citation

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Khalida Aissani. Mouffak Benchohra. "Controllability of fractional integrodifferential equations with state-dependent delay." J. Integral Equations Applications 28 (2) 149 - 167, 2016. https://doi.org/10.1216/JIE-2016-28-2-149

Information

Published: 2016
First available in Project Euclid: 1 July 2016

zbMATH: 1348.34131
MathSciNet: MR3518481
Digital Object Identifier: 10.1216/JIE-2016-28-2-149

Subjects:
Primary: 26A33 , 34A08 , 34G20 , 34H05 , 34K37 , 35R11 , 93B05

Keywords: Caputo fractional derivative , Controllability , fixed point , Integro-differential equations , semigroup , state-dependent delay

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.28 • No. 2 • 2016
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