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Controllability of Semilinear Impulsive Atangana-Baleanu Fractional Differential Equations With Delay

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2019

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Pergamon-elsevier Science Ltd

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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

Keywords

Fractional Derivatives And Integrals, Controllability, Differential Equations With Impulses, Semigroup And Fixed-Point Theories

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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).

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OpenCitations Citation Count
69

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128

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51

End Page

57
SCOPUS™ Citations

78

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Web of Science™ Citations

76

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12.97

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