Kulkarni SR, Rajendran B. Spiking neural networks for handwritten digit recognition–supervised learning and network optimization. Neural Netw. 2018;103:118–27.

Article  Google Scholar 

Sadeghpour M, Khodabakhsh M, Salarieh H. Intelligent control of chaos using linear feedback controller and neural network identifier. Commun Nonlinear Sci Numer Simul. 2012;17(12):4731–9.

Article  Google Scholar 

Anderson JA. A simple neural network generating an interactive memory. Math Biosci. 1972;14(3–4):197–220.

Article  Google Scholar 

Forti M, Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I Fundam Theory Appl. 1995;42(7):354–66.

MathSciNet  Article  Google Scholar 

Abbas S, Coronel A, Pinto M, Tyagi S. Exponential approximation of solutions of bidirectional neural networks model with positive delay. Neural Parallel Sci Comput. 2018;26(1):1–29.

Google Scholar 

Chen L, Yin H, Huang T, Yuan L, Zheng S, Yin L. Chaos in fractional-order discrete neural networks with application to image encryption. Neural Netw. 2020;125:174–84.

Article  Google Scholar 

Yang F, Mou J, Liu J, Ma C, Yan H. Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application. Signal Process. 2020;169:107373.

Koeller R. Applications of fractional calculus to the theory of viscoelasticity. J Appl Mech. 1984;51(2):299–307.

MathSciNet  Article  Google Scholar 

Heymans N, Bauwens J-C. Fractal rheological models and fractional differential equations for viscoelastic behavior. Rheol Acta. 1994;33(3):210–9.

Article  Google Scholar 

Sohail A, Bég O, Li Z, Celik S. Physics of fractional imaging in biomedicine. Prog Biophys Mol Biol. 2018;140:13–20.

Article  Google Scholar 

Freeborn TJ. A survey of fractional-order circuit models for biology and biomedicine. IEEE J Emerging Sel Top Circuits Syst. 2013;3(3):416–24.

Article  Google Scholar 

Pu Y, Yuan X, Yu B. Analog circuit implementation of fractional-order memristor: arbitrary-order lattice scaling fracmemristor. IEEE Trans Circuits Syst I Regul Pap. 2018;65(9):2903–16.

MathSciNet  Article  Google Scholar 

Anastasio TJ. The fractional-order dynamics of brainstem vestibulo-oculomotor neurons. Biol Cybern. 1994;72(1):69–79.

Article  Google Scholar 

Gu Y, Yu Y, Wang H. Synchronization-based parameter estimation of fractional-order neural networks. Physica A. 2017;483:351–61.

MathSciNet  Article  Google Scholar 

Sanchez L, Otero J, Ansean D, Couso I. Health assessment of LFP automotive batteries using a fractional-order neural network. Neurocomputing. 2020;391:345–54.

Article  Google Scholar 

Aslipour Z, Yazdizadeh A. Identification of nonlinear systems using adaptive variable-order fractional neural networks (case study: A windturbine with practical results). Eng Appl Artif Intell. 2019;85:462–473.

Srivastava HM, Abbas S, Tyagi S, Lassoued D. Global exponential stability of fractional-order impulsive neural network with time-varying and distributed delay. Math Methods Appl Sci. 2018;41(5):2095–104.

MathSciNet  Article  Google Scholar 

Yu W, Cao J. Stability and HOPF bifurcation analysis on a four-neuron BAM neural network with time delays. Phys Lett A. 2006;351(1–2):64–78.

Article  Google Scholar 

Bairagi N, Jana D. On the stability and Hopf bifurcation of a delay-induced predator–prey system with habitat complexity. Appl Math Model. 2011;35(7):3255–67.

MathSciNet  Article  Google Scholar 

Dubey B, Kumar A, Maiti AP. Global stability and HOPF-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge. Commun Nonlinear Sci Numer Simul. 2019;67:528–54.

MathSciNet  Article  Google Scholar 

Marcrs C, Westervelt R. Stability of analog neural network with delay. Phys Rev A. 1989;39:347–59.

MathSciNet  Article  Google Scholar 

Wu J. Introduction to neural dynamics and signal transmission delay, de Gruyter. 2011.

Han F, Wang Z, Du Y, Sun X, Zhang B. Robust synchronization of bursting Hodgkin-Huxley neuronal systems coupled by delayed chemical synapses. Int J Non-Linear Mech. 2015;70:105–11.

Article  Google Scholar 

Zhou S, Xiao M, Wang L, Cheng Z. Bifurcation and oscillations of a multi-ring coupling neural network with discrete delays. Cogn Comput. 2021;13(5):1233–45.

Article  Google Scholar 

Huang C, Nie X, Zhao X, Song Q, Tu Z, Xiao M, Cao J. Novel bifurcation results for a delayed fractional-order quaternion-valued neural network. Neural Netw. 2019;117:67–93.

Article  Google Scholar 

Ding D, Yao X, Zhang H. Complex projection synchronization of fractional-order complex-valued memristive neural networks with multiple delays. Neural Process Lett. 2020;51(1):325–45.

Article  Google Scholar 

Rihan F, Velmurugan G. Dynamics of fractional-order delay differential model for tumor-immune system. Chaos, Solitons Fractals. 2020;132:109592.

Huang C, Cao J. Bifurcations induced by self-connection delay in high-order fractional neural networks. Neural Process Lett. 2021;53(1):637–51.

Article  Google Scholar 

Huang C, Liu H, Chen Y, Chen X, Song F. Dynamics of a fractional-order BAM neural network with leakage delay and communication delay. Fractals. 2021;29(03):2150073.

Article  Google Scholar 

Xu C, Liu Z, Liao M, Li P, Xiao Q, Yuan S. Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of HOPF bifurcation. Math Comput Simul. 2021;182:471–94.

MathSciNet  Article  Google Scholar 

Li S, Huang C, Yuan S. Hopf bifurcation of a fractional-order double-ring structured neural network model with multiple communication delays. Nonlinear Dyn. 2022;1–18.

Bi P, Hu Z. Hopf bifurcation and stability for a neural network model with mixed delays. Appl Math Comput. 2012;218(12):6748–61.

MathSciNet  MATH  Google Scholar 

Podlubny I. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier; 1998.

Cao J, Guerrini L, Cheng Z. Stability and HOPF bifurcation of controlled complex networks model with two delays. Appl Math Comput. 2019;343:21–9.

MathSciNet  MATH  Google Scholar 

Deng W, Li C, Lü J. Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dyn. 2007;48(4):409–16.

MathSciNet  Article  Google Scholar