Finite‐time stability of fractional delay differential equations involving the generalized Caputo fractional derivative with non‐instantaneous impulses

For the first time, the result on finite‐time stability (FTS) for fractional delay differential equations with non‐instantaneous impulses (NI‐FDDEs) involving the generalized Caputo fractional derivative is presented. Based on an extensive estimation of the fractional integral inequality provided in...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-06, Vol.45 (9), p.4938-4955
Main Authors: Vinh An, Truong, Vu, Ho, Van Hoa, Ngo
Format: Article
Language:English
Subjects:
Derivatives
Differential equations
finite‐time stability
Fractional calculus
fractional delay differential equations
Impulses
Integrals
Mathematical analysis
non‐instantaneous impulses
Stability
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Summary:For the first time, the result on finite‐time stability (FTS) for fractional delay differential equations with non‐instantaneous impulses (NI‐FDDEs) involving the generalized Caputo fractional derivative is presented. Based on an extensive estimation of the fractional integral inequality provided in this paper, a sufficient condition is proposed to the FTS of NI‐FDDEs. Some examples are provided to illustrate our theoretical results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8084