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Generalized Proportional Caputo Fractional Differential Equations with Delay and Practical Stability by the Razumikhin Method
| Content Provider | MDPI |
|---|---|
| Author | O’regan, Donal Agarwal, Ravi Hristova, Snezhana |
| Copyright Year | 2022 |
| Description | Practical stability properties of generalized proportional Caputo fractional differential equations with bounded delay are studied in this paper. Two types of stability, practical stability and exponential practical stability, are defined and considered, and also some sufficient conditions to guarantee stability are presented. The study is based on the application of Lyapunov like functions and their generalized proportional Caputo fractional derivatives among solutions of the studied system where appropriate Razumikhin like conditions are applied (appropriately modified in connection with the fractional derivative considered). The theory is illustrated with several nonlinear examples. |
| Starting Page | 1849 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10111849 |
| Journal | Mathematics |
| Issue Number | 11 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-05-27 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Hardware and Architecturee Generalized Proportional Caputo Fractional Derivative Differential Equations Bounded Delays Practical Stability Lyapunov Functions Razumikhin Type Conditions |
| Content Type | Text |
| Resource Type | Article |
