Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
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Stability for Non-local and Non-autonomous Fractional Order Differential Systems with Delays
DOI:
10.16355/j.cnki.issn1007-9432tyut.2018.05.023
Received:
Accepted:
| Corresponding author | Institute | |
| WEI Yiqiang | College of Mathematics, Taiyuan University of Technology |
abstract:
In this paper, we studied the Riemann-Liouville fractional order nonlinear differential systems with non-local, non-autonomous and delays, with the emphasis on the existence, uniqueness of the solutions and finite time stability of the systems.First, by the integral method, the problem was transformed into the Volterra integral equivalent form.Then, by the Banach fixed point theorem, the existence and uniqueness of the solutions were testified.Lastly, the finite time stability concept was generalized to nonlinear systems.By using fractional generalized Gronwall inequality, the finite time stability of this system under certain conditions was proved.
Keywords:
fractional order; Riemann-Liouville derivative; delays; finite time stability;