Abstract
Caputo fractional delay differential equations with non-instantaneous impulses are studied. Initially a brief overview of the basic two approaches in the interpretation of solutions is given. A generalization of Mittag-Leffler stability with respect to non-instantaneous impulses is given and sufficient conditions are obtained. Lyapunov functions and the Razumikhin technique will be applied and appropriate derivatives among the studied fractional equations is defined and applied. Examples are given to illustrate our results.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 583-598 |
| Number of pages | 16 |
| Journal | Mathematica Slovaca |
| Volume | 69 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jun 2019 |
Keywords
- Caputo fractional Dini derivative
- Caputo fractional derivative
- Lyapunov functions
- Mittag-Leffler stability
- non-instantaneous impulses
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, R,Hristova, S,O'Regan, D
Fingerprint
Dive into the research topics of 'MITTAG-LEFFLER STABILITY FOR NON-INSTANTANEOUS IMPULSIVE CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver