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Konu "Q-Calculus" için listeleme

Konu "Q-Calculus" için listeleme

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  • A Decomposition Method for Solving Q-Difference Equations 
    Baleanu, Dumitru; Jafari, H.; Johnston, S. J.; Sani, S. M. (Natural Sciences Publishing Corporation, 2015)
    The q-difference equations are important in q-calculus. In this paper, we apply the iterative method which is suggested by Daftardar and Jafari, hereafter called the Daftardar-Jafari method, for solving a type of q-partial ...
  • New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations 
    Wu, Guo-Cheng; Baleanu, Dumitru (Springer Open, 2013)
    The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study mainly ...
  • On the mittag-leffler stability of q-fractional nonlinear dynamical systems 
    Jarad, Fahd; Abdeljawad, Thabet; Gündoğdu, Emrah; Baleanu, Dumitru (Editura Acad Romane, 2011-12)
    In this article, analogous to the definition of the exponential stability of ordinary dynamical systems and the Mittag-Leffler stability of the fractional dynamical systems, we consider the Mittag-Leffler stability for ...
  • Perron's theorem for q-delay difference equations 
    Alzabut, Jehad; Abdeljawad, Thabet (Natural Sciences Publishing Corporation, 2011-01)
    In this paper, we prove that if a linear q-delay difference equation satisfies Perron's condition then its trivial solution is uniformly asymptotically stable
  • Stability of q-fractional non-autonomous systems 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (Pergamon-Elsevier Science Ltd, 2013-02)
    In this manuscript, using Lyapunov's direct method, the stability of non-autonomous systems within the frame of the q-Caputo fractional derivative is studied. The conditions for stability, uniform stability and asymptotic ...
  • The Q-Fractional Analogue for Gronwall-Type Inequality 
    Abdeljawad, Thabet; Alzabut, Jehad (Hindawi Publishing Corporation, 2013)
    We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type ...