On stability of nonlinear nonautonomous discrete fractional Caputo systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124021
Abstract: Abstract Conditions to establish Mittag-Leffler stability of solutions for nonlinear nonautonomous discrete Caputo-like fractional systems just from the linear associated system is shown. Mittag-Leffler stability for linear systems is tackled pointing out properties the matrix… read more here.
Keywords: caputo; nonlinear nonautonomous; leffler stability; mittag leffler ... See more keywords
Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2021.2023688
Abstract: This paper is devoted to analysing the global Mittag-Leffler stability of fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses. The quaternion direct method is adopted to address the considered model avoiding any decomposition.… read more here.
Keywords: quaternion valued; quaternion; mittag leffler; leffler stability ... See more keywords
Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/7962542
Abstract: Due to finite lifespan of the particles or boundedness of the physical space, tempered fractional calculus seems to be a more reasonable physical choice. Stability is a central issue for the tempered fractional system. This… read more here.
Keywords: tempered mittag; tempered fractional; leffler stability; stability tempered ... See more keywords
Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-1997-4
Abstract: In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality… read more here.
Keywords: hyers mittag; mittag leffler; ulam hyers; leffler stability ... See more keywords
On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2016-0027
Abstract: Abstract In this article, we introduce fractional-order Solow-type models as a new tool for modeling and analysis in mathematical finance. Sufficient conditions for the Mittag–Leffler stability of their states are derived. The main advantages of… read more here.
Keywords: leffler stability; mittag leffler; type models; solow type ... See more keywords