نتایج جستجو برای: fuzzy caputo

تعداد نتایج: 91833  

2010
Fulai Chen Xiannan Luo Yong Zhou

This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.

Journal: :computational methods for differential equations 0
mohammadreza ahmadi darani shahrekord university. mitra nasiri shahrekord university.

in this paper we introduce a type of fractional-order polynomials basedon the classical chebyshev polynomials of the second kind (fcss). also we construct the operationalmatrix of fractional derivative of order $ gamma $ in the caputo for fcss and show that this matrix with the tau method are utilized to reduce the solution of some fractional-order differential equations.

Journal: :Journal of function spaces 2022

The current article discusses the new fuzzy iterative transform method, a hybrid methodology based on logic and an transformation technique. We demonstrate consistency of our technique by employing Caputo derivative under generalized Hukuhara differentiability to construct fractional Klein-Gordon equations with initial condition. series produced result was calculated compared exact result’s rec...

Journal: :Progress in Fractional Differentiation and Applications 2022

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.

Journal: :Advances in Difference Equations 2018

2014
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 Davì Angela Valentina D’Elia Antongiulio Faggiano Stefano Pizzolitto Annibale Versari Michele Zini Guido Rindi Kjell Öberg

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...

2015
A.A.M. ARAFA M. KHALIL

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.

2013
Sachin Bhalekar

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.

2014
S. JAHANSHAHI E. BABOLIAN D. F. M. TORRES A. R. VAHIDI

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...

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