Controllability of Semilinear Impulsive Atangana-Baleanu Fractional Differential Equations With Delay
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
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Abstract
We discuss the controllability of semilinear differential equations of fractional order with impulses and delay. We make use of the Atangana-Baleanu derivative. Our main tools are semigroup theory, the fixed point theorem due to Darbo and their combination with the properties of measures of noncompactness. Our abstract results are well supported by an illustrative example. (C) 2019 Published by Elsevier Ltd.
Description
Seba, Djamila/0000-0002-7910-3074
ORCID
Keywords
Fractional Derivatives And Integrals, Controllability, Differential Equations With Impulses, Semigroup And Fixed-Point Theories, Controllability, differential equations with impulses, Control/observation systems governed by functional-differential equations, fixed-point theorem, Impulsive control/observation systems, fractional derivatives and integrals, controllability, semigroup theory, Functional-differential equations with fractional derivatives
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Aimene, D.; Baleanu, D.; Seba, D., "Controllability of Semilinear Impulsive Atangana-Baleanu Fractional Differential Equations With Delay", Chaos, Solitons and Fractals, Vol. 128, pp. 51-57, (2019).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
75
Source
Chaos, Solitons & Fractals
Volume
128
Issue
Start Page
51
End Page
57
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CrossRef : 77
Scopus : 78
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Mendeley Readers : 8
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86
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83
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1
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