IJPAM: Volume 109, No. 1 (2016)

ON THE MITTAG-LEFFLER STABILITY OF
IMPULSIVE FRACTIONAL NEURAL NETWORKS
WITH FINITE DELAYS

Snezhana Hristova$^1$, Ivanka Stamova$^2$
$^1$Department of Applied Mathematics and Modeling
Plovdiv University
Tzar Asen 24, 4000 Plovdiv, BULGARIA
e-mail: snehri@gmail.com
$^2$Department of Mathematics
The University of Texas at San Antonio
San Antonio, TX 78249, USA


Abstract. This paper deals with Mittag-Leffler stability properties of impulsive Caputo fractional neural networks with dynamical thresholds and finite delays. The impulses are realized at fixed moments of time and can be considered as a control.

Received: August 1, 2016

AMS Subject Classification: 34A37, 34A08, 34C60, 34D23, 44A10

Key Words and Phrases: Mittag-Leffler stability, neural networks, impulses, delay, Caputo fractional derivatives

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DOI: 10.12732/ijpam.v109i1.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 1
Pages: 105 - 117


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