Dynamical behavior for fractional-order shunting inhibitory cellular neural networks | Zendy

Yang Zhao | Zendy; Yanguang Cai | Zendy; Guobing Fan | Zendy

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Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

Author(s) -

Yang Zhao,

Yanguang Cai,

Guobing Fan

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.97

Subject(s) - mathematics , order (exchange) , shunting , inhibitory postsynaptic potential , artificial neural network , neuroscience , artificial intelligence , computer science , biology , business , finance

This paper deals with a class of fractional-order shunting inhibitory cellular neural networks. Applying the contraction mapping principle, Krasnoselskii fixed point theorem and the inequality technique, some very verifiable criteria on the existence and uniqueness of nontrivial solution are obtained. Moreover, we also investigate the uniform stability of the fractional-order shunting inhibitory cellular neural networks. Finally, an example is given to illustrate our main theoretical findings. Our results are new and complement previously known results. c ©2016 All rights reserved.

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