Controllability of Semilinear Impulsive Atangana-Baleanu Fractional Differential Equations With Delay
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Date
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.
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Seba, Djamila/0000-0002-7910-3074
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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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Volume
128
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Start Page
51
End Page
57
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78
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Web of Science™ Citations
76
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