نتایج جستجو برای: fractional order
تعداد نتایج: 956484 فیلتر نتایج به سال:
In this paper, a time-fractional diffusion equation of distributed order including the Caputo-Prabhakar fractional derivative is studied. We use a numerical method based on the linear B-spline interpolation and finite difference method to study the solutions of these types of fractional equations. Finally, some numerical examples are presented for the performance and accuracy of the proposed nu...
the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...
In this paper, an optimization method is used for solving a fractional optimal control problem with significant applications in chemical engineering. The considered optimal control is the control system of the isothermal continuous stirred tank reactors. The Riemann-Liouville fractional derivative is used to describe the mathematical model of control system. For solving the fractional optimal ...
In this paper, a new 2-dimensional chaotic map with simple algebraic form is proposed. And the numerical solution of corresponding fractional-order derived. It novel that still exhibits behaviors when expanded to and improper fractional-order. The dynamical characteristics these three forms are detected through bifurcation diagram, maximum Lyapunov exponent spectrum, Kolmogorov entropy attracto...
In recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. The following method is based on vector forms of Haar-wavelet functions. In this paper, we will introduce one dimensional Haar-wavelet functions and the Haar-wavelet operational matrices of the fractional order integration. Also the Haar-wavelet operational matrices of ...
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
The fractional calculus deals with the generalization of integration and differentiation of integer order to those ones of any order. The q-fractional differential equation usually describe the physical process imposed on the time scale set Tq. In this paper, we first propose a difference formula for discretizing the fractional q-derivative of Caputo type with order and scale index . We es...
This paper introduces a new design method of fractional-order proportional–derivative (FOPD) and fractional-order proportional–integral–derivative (FOPID) controllers. A biquadratic approximation of a fractional-order differential operator is used to introduce a new structure of finite-order FOPID controllers. Using the new FOPD controllers, the controlled systems can achieve the desired phase ...
In this paper, we study the asymptotic stability of three fractional scalar systems by using the method of universal adaptive stabilization: (I) Fractional dynamics with integer-order control strategy, (II) Fractional dynamics with fractional control strategy, and (III) Application of fractional viscoelastic and electromagnetic theories in universal adaptive stabilization. It is shown that the ...
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