Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 391, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125633
Keywords
Fractional dynamical equation; Non-instantaneous impulses; Stability analysis; Controllability; Mittag-Leffler function
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Funding
- University Grants Commission of India [2121540900, 20/12/2015 (ii) EU-V]
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This paper proves the existence, stability, and controllability of fractional damped differential systems with non-instantaneous impulses. The results are obtained using mathematical methods and illustrated with numerical examples.
In this paper, we prove the existence, stability and controllability results for fractional damped differential system with non-instantaneous impulses. The results are obtained by using Banach fixed-point theorem, nonlinear functional analysis, Mittag-Leffler matrix function and controllability Grammian matrix. At last, some numerical examples are given to illustrate the obtained theory. (c) 2020 Elsevier Inc. All rights reserved.
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