Mittag-Leffler stability for non-instantaneous impulsive Caputo fractional differential equations with delays

In: Mathematica Slovaca, vol. 69, no. 3

Ravi P. Agarwal - Snezhana Hristova - Donal O'regan

Detaily:

Rok, strany: 2019, 583 - 598

Kľúčové slová:

non-instantaneous impulses, Caputo fractional derivative, Mittag-Leffler stability, Lyapunov functions, Caputo fractional Dini derivative

DOI: https://doi.org/10.1515/ms-2017-0249

O článku:

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.

Ako citovať:

ISO 690:

Agarwal, R., Hristova, S., O'regan, D. 2019. Mittag-Leffler stability for non-instantaneous impulsive Caputo fractional differential equations with delays. In Mathematica Slovaca, vol. 69, no.3, pp. 583-598. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0249

APA:

Agarwal, R., Hristova, S., O'regan, D. (2019). Mittag-Leffler stability for non-instantaneous impulsive Caputo fractional differential equations with delays. Mathematica Slovaca, 69(3), 583-598. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0249

O vydaní:

Publikované: 21. 5. 2019