نتایج جستجو برای: caputo
تعداد نتایج: 2169 فیلتر نتایج به سال:
In this paper we establish some convergence results for Riemann-Liouville, Caputo, and Caputo-Fabrizio fractional operators when the order of differentiation approaches one. We consider errors given by $\left|\left| D^{1-\al}f -f'\right|\right|_p$ p=1 $p=\infty$ prove that both Caputo Fabrizio is a positive real r, 0<r<1. Finally, compare speed between obtaining they related Digamma function.
Franco Grimaldi • Nicola Fazio • Roberto Attanasio • Andrea Frasoldati • Enrico Papini • Francesco Angelini • Roberto Baldelli • Debora Berretti • Sara Bianchetti • Giancarlo Bizzarri • Marco Caputo • Roberto Castello • Nadia Cremonini • Anna Crescenzi • Maria Vittoria Davı̀ • Angela Valentina D’Elia • Antongiulio Faggiano • Stefano Pizzolitto • Annibale Versari • Michele Zini • Guido Rindi • Kj...
In this paper, SIJR e-epidemic model of fractional order for the transmission of viruses in computer network with natural death has been presented. The fractional derivatives are described in the Caputo sense. In this model the nodes have two levels of infection. Predictor-Corrector method is employed to obtain numerical solution of presented model.
In this paper we propose a necessary condition for the existence of chaos in delay differential equations of fractional order. To explain the proposed theory, we discuss fractional order Liu system and financial system involving delay. Keywords—Caputo derivative, delay, stability, chaos.
We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation values of three Abel integral equations are found, illustrating the effectiveness of the proposed ap...
This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some ot...
In this paper, we investigate the numerical solution of fractional integro-differential equations by comparison between He’s variational iteration method and taylor expansion method. The fractional derivative is described in the Caputo sense. Some numerical examples are presented to illustrate the methods.
In this paper, the Homotopy perturbation method is successfully extended to solve fractional biological population model and numerical results are obtained. The fractional derivatives are described in the Caputo sense, some examples are provided. And the solutions of the equation are continuous with the parameter α . Mathematics subject classification (2010): 35D99.
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