4.7 Article

Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses

Journal

APPLIED MATHEMATICS LETTERS
Volume 99, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106000

Keywords

Non-autonomous fractional differential systems; Exponential ultimate boundedness; Time delay; Impulses

Funding

  1. NNSF of China [11501518]

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This paper is concerned with the globally exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses. By establishing some non-autonomous fractional differential inequalities and using the properties of the Mittag-Leffler function, some sufficient criteria on the exponential ultimate boundedness are presented for the systems. (C) 2019 Elsevier Ltd. All rights reserved.

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