Browsing by Author "Delavari, H."

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    Article
    Citation - WoS: 69
    Citation - Scopus: 66
    Razumikhin Stability Theorem for Fractional Systems With Delay
    (Hindawi Ltd, 2010) Ranjbar, A.; Abdeljawad (Maraaba), T.; Jarad, Fahd; Baleanu, D.; Sadati, S. J.; Ghaderi, R.; Gejji, V.; Sadat, S.J.R.; Delavari, R. H.; Sadati R, S. J.; Abdeljawad , T.; Abdeljawad Maraaba, T.; Ranjbar N, A.; Delavari, H.
    Fractional calculus techniques and methods started to be applied successfully during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional-order nonlinear time-delay systems for Riemann-Liouville and Caputo derivatives and we extended Razumikhin theorem for the fractional nonlinear time-delay systems.
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    Article
    Citation - Scopus: 330
    Stability Analysis of Caputo Fractional-Order Nonlinear Systems Revisited
    (2012) Baleanu, D.; Sadati, J.; Delavari, H.
    In this paper stability analysis of fractional-order nonlinear systems is studied. An extension of Lyapunov direct method for fractional-order systems using Bihari's and Bellman-Gronwall's inequality and a proof of comparison theorem for fractional-order systems are proposed. © 2011 Springer Science+Business Media B.V.