@Article{Agarwal2015, author="R. Agarwal, S. Hristova, D. O’Regan", title="Lyapunov functions and strict stability of Caputo fractional differential equations", journal="Adv. Difference Equ.", year="2015", pages="20 pages. ", volume="2015" } @Article{Agarwalto be published, author=" R. Agarwal, S. Hristova, D. O’Regan", title="Lyapunov functions and stability of Caputo fractional differential equations with delays", journal="", year="to be published", pages="", volume="" } @Article{Agarwal2016, author="R. Agarwal, S. Hristova, D. O’Regan", title="A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations", journal="Fract. Calc. Appl. Anal.", year="2016", pages=" 290–318.", volume="19" } @Article{Agarwal2015, author=" R. Agarwal, D. O’Regan, S. Hristova", title="Stability of Caputo fractional differential equations by Lyapunov functions", journal=" Appl. Math.", year="2015", pages="653–676.", volume="60" } @Article{Agarwal2017, author="R. Agarwal, D. O’Regan, S. Hristova, M. Cicek", title="Practical stability with respect to initial time difference for Caputo fractional differential equations", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2017", pages="106–120. ", volume="42" } @Article{Bao2016, author=" H. Bao, J. H. Park, J. Cao", title=" Synchronization of fractional-order complex-valued neural networks with time delay", journal="Neural Netw.", year="2016", pages="16–28.", volume="81" } @Article{Chen2013, author="L. Chen, Y. Chai, R. Wu, T. Ma, H. Zhai", title="Dynamic analysis of a class of fractional-order neural networks with delay", journal="Neurocomputing", year="2013", pages="190–194. ", volume="111" } @Article{Chen2015, author=" B. Chen, J. Chen", title="Razumikhin-type stability theorems for functional fractional-order differential systems and applications", journal=" Appl. Math. Comput.", year="2015", pages=" 63–69.", volume="254" } @Article{Chen2014, author="D. Chen, R. Zhang, X. Liu, X. Ma", title="Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2014", pages="4105–4121. ", volume="19" } @Article{Duarte-Mermoud2015, author=" M. A. Duarte-Mermoud, N. Aguila-Camacho, J. A. Gallegos, R. Castro-Linares", title="Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2015", pages="650–659.", volume="22" } @Article{Huang2012, author="Y. Huang, H. Zhang, Z. Wang", title="Dynamical stability analysis of multiple equilibrium points in time-varying delayed recurrent neural networks with discontinuous activation functions", journal="Neurocomputing", year="2012", pages=" 21–28. ", volume="91" } @Article{Li2017, author="R. Li, J. Cao, A. Alsaedi, F. Alsaadi", title="Stability analysis of fractional-order delayed neural networks", journal="Nonlinear Anal. Model. Control", year="2017", pages="505–520.", volume="22" } @Article{Li2009, author="Y. Li, Y. Chen, I. Podlubny", title="Mittag-Leffler stability of fractional order nonlinear dynamic systems", journal=" Automatica J. IFAC", year="2009", pages="1965–1969. ", volume="45" } @Article{Li2010, author=" Y. Li, Y. Chen, I. Podlubny", title="Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability", journal=" Comput. Math. Appl.", year="2010", pages=" 1810–1821.", volume="59" } @Article{Li2009, author="C. Li, G. Feng", title=" Delay-interval-dependent stability of recurrent neural networks with time-varying delay", journal="Neurocomputing", year="2009", pages="1179–1183. ", volume="72" } @Article{Liang2003, author="J. Liang, J. Cao", title="Global Exponential Stability of Reaction-Diffusion Recurrent Neural Networks with Time-Varying Delays", journal=" Phys. Lett. A", year="2003", pages=" 434–442.", volume="314" } @Article{Lou2007, author="X. Lou, B. Cui", title="Boundedness and Exponential Stability for Nonautonomous Cellular Neural Networks with Reaction- Diffusion Terms", journal="Chaos Solitons Fractals", year="2007", pages=" 653–662.", volume="33" } @Article{Marcus1989, author="C. M. Marcus, R. M. Westervelt", title="Stability of analog neural networks with delay", journal=" Phys. Rev. A", year="1989", pages=" 347–359.", volume="39" } @Article{Newman2012, author="M. E. J. Newman", title="Communities, modules and large-scale structure in networks", journal=" Nature Phys.", year="2012", pages=" 25–31. ", volume="8" } @Book{Podlubny1999, author=" I. Podlubny", title="Fractional Differential Equations", year="1999", publisher="Academic Press", address="San Diego" } @Article{Rahimi2008, author="A. Rahimi, B. Recht", title="Weighted sums of random kitchen sinks: Replacing minimization with randomization in learning", journal="Adv. Neural Information Processing Syst.", year="2008", pages=" 1313–1320. ", volume="2008" } @Article{Sadati2013, author=" S. J. Sadati, R. Ghaderi, A. Ranjbar", title="Some fractional comparison results and stability theorem for fractional time delay systems", journal=" Rom. Reports Phy.", year="2013", pages=" 94–102.", volume="65" } @Article{Saxena2014, author="R. K. Saxena, A. M. Mathai, H. J. Haubold", title=" Space-time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann-Liouville Fractional Derivative", journal="Axioms", year="2014", pages="320–334. ", volume="3" } @Article{Stamova2016, author=" I. M. Stamova", title="On the Lyapunov theory for functional differential equations of fractional order", journal="Proc. Amer. Math. Soc.", year="2016", pages=" 1581–1593.", volume="144" } @Article{Stamova2017, author="I. M. Stamova, S. Simeonov", title=" Delayed ReactionDiffusion Cellular Neural Networks of Fractional Order: MittagLeffler Stability and Synchronization", journal="J. Comput. Nonlinear Dynam.", year="2017", pages=" 7 pages. ", volume="13" } @Book{Stamova2016, author=" I. Stamova, G. Stamov", title="Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications", year="2016", publisher="CRC Press", address="New York" } @Article{Stigler2011, author="J. Stigler, F. Ziegler, A. Gieseke, J. C. M. Gebhardt, M. Rief", title="The complex folding network of single calmodulin molecules", journal="Science", year="2011", pages=" 512–516.", volume="334" } @Article{Devi2012, author=" J. Vasundhara Devi, F. A. Mc Rae, Z. Drici", title=" Variational Lyapunov method for fractional differential equations", journal=" Comput. Math. Appl.", year="2012", pages="2982–2989.", volume="64" } @Article{Wanduku2012, author="D. Wanduku, G. S. Ladde", title="Global properties of a two-scale network stochastic delayed human epidemic dynamic model", journal="Nonlinear Anal. Real World Appl.", year="2012", pages="794–816. ", volume="13" } @Article{Wang2014, author=" H. Wang, Y. Yu, G. Wen", title=" Stability analysis of fractional-order Hopfield neural networks with time delays", journal="Neural Netw.", year="2014", pages=" 98–109.", volume="55" } @Article{Wu2012, author="S. Wu, C. Li, X. Liao, S. Duan", title=" Exponential stability of impulsive discrete systems with time delay and applications in stochastic neural networks: a Razumikhin approach", journal="Neurocomputing", year="2012", pages=" 29–36. ", volume="82" } @Article{Yang2015, author=" X. Yang, Q. Song, Y. Liu, Z. Zhao", title=" Finite-time stability analysis of fractional-order neural networks with delay", journal="Neurocomputing", year="2015", pages="19–26.", volume="152" } @Article{Zhang2017, author="W. Zhang, R. Wu, J. Cao, A. Alsaedi, T. Hayat", title="Synchronization of a class of fractional-order neural networks with multiple time delays by comparison principles", journal=" Nonlinear Anal. Model. Control", year="2017", pages=" 636–645.", volume="22" }