Loading...
Please wait, while we are loading the content...
Similar Documents
Stability of Generalized Proportional Caputo Fractional Differential Equations by Lyapunov Functions
| Content Provider | MDPI |
|---|---|
| Author | O’regan, Donal Agarwal, Ravi Hristova, Snezhana |
| Copyright Year | 2022 |
| Description | In this paper, nonlinear nonautonomous equations with the generalized proportional Caputo fractional derivative (GPFD) are considered. Some stability properties are studied by the help of the Lyapunov functions and their GPFDs. A scalar nonlinear fractional differential equation with the GPFD is considered as a comparison equation, and some comparison results are proven. Sufficient conditions for stability and asymptotic stability were obtained. Examples illustrating the results and ideas in this paper are also provided. |
| Starting Page | 34 |
| e-ISSN | 25043110 |
| DOI | 10.3390/fractalfract6010034 |
| Journal | Fractal and Fractional |
| Issue Number | 1 |
| Volume Number | 6 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-10 |
| Access Restriction | Open |
| Subject Keyword | Fractal and Fractional Industrial Engineering Generalized Proportional Caputo Fractional Derivative Fractional Differential Equations Stability Asymptotic Stability Lyapunov Functions |
| Content Type | Text |
| Resource Type | Article |
