فهرس المقالات Caputo fractional derivative

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  1 - An Efficient Method for Solving the Fuzzy AH1N1/09 Influenza Model Using the Fuzzy Atangana-Baleanu-Caputo Fractional Derivative
  Fatemeh Babakordi
  10.30495/fomj.2023.1988760.1096
  The AH1N1/09 influenza virus is one of the most dangerous viruses that has greatly affected human life. As it is an unstable virus and new types of it with different features are created every year, its investigation is important. Various mathematical models have been p أکثر

  The AH1N1/09 influenza virus is one of the most dangerous viruses that has greatly affected human life. As it is an unstable virus and new types of it with different features are created every year, its investigation is important. Various mathematical models have been proposed to describe such diseases. In this paper, mathematical modeling in the form of fractional differential equations with the Atangana-Baleanu-Caputo (ABC) derivative and initial value is proposed to study this virus. Since the nature of the virus and how it affects the human body are ambiguous and imprecise, its fuzzy model is discussed. By using tools such as r-cut, generalized Hakuhara difference, ABC fractional derivative in fuzzy mode, and ABC-PI numerical method, the proposed model is solved numerically. At the end, a numerical example is provided to show the applicability of the method. تفاصيل المقالة
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  2 - Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique
  کوکب چلمبری حمیده ابراهیمی زینب آیاتی
  In this research, differential quadrature radial basis functions Method is performed to a fractional order model of HIV infection of CD4+T. Here, Caputo fractional derivative is used and it is approximated by forward finite difference method. Results have been compared أکثر

  In this research, differential quadrature radial basis functions Method is performed to a fractional order model of HIV infection of CD4+T. Here, Caputo fractional derivative is used and it is approximated by forward finite difference method. Results have been compared with the results of Laplace Adomian decomposition method (LADM), Laplace Adomian decomposition method-pade (LADM-pade), Runge-Kutta, Variational iteration method (VIM) and Variational iteration method-pade (VIM-Pade) for α_1=α_2=α_3 and residual functions have been plotted. And also approximate solutions of suggested method for different order of fractional derivatives have been shown. تفاصيل المقالة
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  3 - Stability Analysis of Fractional Order Mathematical Model of Leukemia
  Lahoucine Boujallal
  10.30495/ijm2c.2021.684812
  In this paper, we propose a fractional order model of leukemia in terms of a system of ordinary differential equations with the Caputo derivative that provides convenience for initial conditions of the differential equations. Firstly, we prove the global existence, posi أکثر

  In this paper, we propose a fractional order model of leukemia in terms of a system of ordinary differential equations with the Caputo derivative that provides convenience for initial conditions of the differential equations. Firstly, we prove the global existence, positivity, and boundedness of solutions. The local stability properties of the equilibrium are obtained by using fractional Routh-Hurwitz stability criterion. Furthermore, a suitable Lyapunov functions are constructed to prove the global stability of equilibrium. Finally, numerical simulation of the model are presented to illustrate our theoretical results for different choices of fractional order of derivative α. Then, we can observe the impact of fractional derivative α on the evolution of the model states. تفاصيل المقالة
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  4 - HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
  Y. Ordokhani N. Rahimi
  Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar function أکثر

  Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition, the operational matrix of the fractional integration is obtained and is utilized to convert computation of fractional differential equations into some algebraic equa- tions. We evaluate application of present method by solving some numerical examples. تفاصيل المقالة