MittagLeffler stability of numerical solutions to time fractional ODEs

D Wang, J Zou - Numerical Algorithms, 2023 - Springer
Stability is one of the most fundamental issues for all time-dependent differential equations,
and a deep understanding of the stability of … numerical Mittag-Leffler stability of time fractional …

MittagLeffler functions and their applications

HJ Haubold, AM Mathai… - Journal of applied …, 2011 - Wiley Online Library
… of the applications of the Mittag-Leffler functions in many areas … the Mittag-Leffler function,
generalized Mittag-Leffler functions, … form representation of a Lévy stable law. It is interesting to …

Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

I Stamova - Nonlinear Dynamics, 2014 - Springer
… fractional order with time-varying delays. We apply the Mittag-Leffler stability concept, and
we investigate the effect of the impulses on the global asymptotic stability behavior of the …

[PDF][PDF] Mittag-Leffler input stability of fractional differential equations and its applications

N Sene - Discrete & Continuous Dynamical Systems-S, 2020 - researchgate.net
… This paper addresses the Mittag-Leffler input stability of the fractional … the Mittag-Leffler
input stability: converginginput converging-state, bounded-input bounded-state, and Mittag-Leffler

Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations

M Li, JR Wang - Applied Mathematics and Computation, 2018 - Elsevier
Mittag-Leffler matrix function. With the help of the delayed two parameters Mittag-Leffler type
… Thereafter, we present finite time stability results of nonlinear fractional delay differential …

Multiple MittagLeffler stability of fractional-order recurrent neural networks

P Liu, Z Zeng, J Wang - IEEE Transactions on Systems, Man …, 2017 - ieeexplore.ieee.org
stability was presented, and α-stability and α-synchronization were investigated for a class of
fractional-order recurrent neural networks. Finite-time stability … and MittagLeffler functions. …

MittagLeffler Stability Theorem for Fractional Nonlinear Systems with Delay

SJ Sadati, D Baleanu, A Ranjbar… - Abstract and Applied …, 2010 - Wiley Online Library
… the stability of fractional order nonlinear time-delay systems for Caputo’s derivative, and we
proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems. …

Mittag-Leffler stability of fractional-order Hopfield neural networks

S Zhang, Y Yu, H Wang - Nonlinear Analysis: Hybrid Systems, 2015 - Elsevier
… perform stability analysis of these systems. Here, we perform Mittag-Leffler stability analysis
… help construct Lyapunov functions used to Mittag-Leffler stability analysis of fractional-order …

Finite time stability of fractional delay difference systems: A discrete delayed Mittag-Leffler matrix function approach

F Du, B Jia - Chaos, Solitons & Fractals, 2020 - Elsevier
… a discrete delayed Mittag-Leffler matrix function will be developed and finite time stability of
the … In this section, a criterion of the finite time stability of FDDS with constant coefficients is …

MittagLeffler stability analysis on variable-time impulsive fractional-order neural networks

X Yang, C Li, Q Song, T Huang, X Chen - Neurocomputing, 2016 - Elsevier
… we consider the MittagLeffler stability analysis for variable-time impulsive neural … time ones,
furthermore, demonstration showing the same stability properties between the variable-time