Fractional Order
Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems
... of fractional calculus [26-30]. In [26], fractional generalization of concept of stability was ...and fractional Lyapunov direct method were ...of fractional differential systems based on the ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... of fractional-order differential ...of fractional derivative and integration for such functions to construct a new Tau technique for solving fractional partial differential equations ...the ...
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Parameter estimation of the fractional order Hammerstein–Wiener model using simplified refined instrumental variable fractional order continuous time
... The empirical study of HWSRIVCF convergence is evaluated using the frequency response of the estimated HWFC models at each iteration for five iterations. Figs. 5a, b, 6a, b, and 7a, b show that the HWSRIVCF algorithm ...
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Fractional Order for Food Gums: Modeling and Simulation
... Fractional order calculus can represent systems with high-order dynamics and complex nonlinear phenomena using few coefficients, since the arbitrary order of the derivatives provides an ...
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Dynamics of a Fractional Order Eco-Epidemiological Model
... A fractional order eco-epidemiological model intro- duces by changing the first derivative into some frac- tional order Caputo-type derivatives. Suppose ( S ) is the susceptible prey population, ( I ...
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Effect of Fractional Order in Vertical Pole Motion
... of fractional order transfer function is analogical to an idea of integer order transfer function ...different fractional order in vertical pole motion in LHP then analyze impulse ...
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Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative
... of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional ...conformable fractional differential and ...
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The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications
... of fractional derivative for some types of classical orthogonal ...the fractional type of Chebysheve polynomials of the second kind and used it to numerical solution of some linear fractional ...
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Synchronization Method for a Class of Fractional order and Integer order Chaotic Systems
... of fractional linear system, combined with tracking control and feedback linearization, this paper proposes a synchronization controller design to achieve the synchronization between a class of ...
5
Explicit and implicit schemes for fractional–order Hantavirus model
... In this paper, fractional–order form of the Hantavirus model is introduced. The stability of the equilibrium points is studied. Two numerical methods have been presented in the explicit and implicit form ...
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Numerical solution of fractional order logistic equations by fractional Eulers method
... century, fractional calculus was initially elaborated as a mathematical ...engineering. Fractional differential equations (FDEs) have been the concentration of plenty of research by the reason of their ...
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Spectral estimation of the fractional order of a Lévy process
... the fractional order of a L´evy process from low-frequency historical as well as options ...the fractional order estimate delivered by the spectral method possesses several interesting ...
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Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... In this paper the approximate solution of the fuzzy differential algebraic equations of fractional order was found by using the fractional differential transform method .it seems from the results of ...
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Spectral estimation of the fractional order of a Lévy process
... where log( · ) is taken in such a way that ψ(v) is continuous with e ψ( e − i ) = 0. Now we can follow the road map of the adaptive spectral calibration algorithm and get an estimate for the fractional ...
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On a fractional order delay Mackey Glass equation
... In this section, a numerical simulation is carried out with the aid of Matlab to illustrate our theoretical results and to reveal the more complex dynamics of equation (.) in the two cases τ = r and τ = r. In all ...
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Existence of Solution to Fractional Order Integral Equations.
... mathematics. Fractional differential equation plays an important role in the study of various physical chemical and biological phenomenon’s many researchers are attracted from the field of theory methods and ...
8
Predictive Functional Control for Fractional Order System
... To examine the sensitivity analysis, ageneral formas follows has been considered thattheinitial values are𝐴 = 0.8, 𝐵 = 0.5, 𝐶 = 1, 𝛼 = 2.2 and 𝛽 = 0.9and the effects ofchanging ofthese parameters have been surveyed. ...
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The variational problem of fractional order control systems
... Riemann-Liouville fractional integrals and derivatives and some ...the fractional-order functional variational problem with fixed and variable ...
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On the Theory of Fractional Order Differential Games of Pursuit
... This work is dedicated to the receipt of sufficient conditions for the completion of the prosecution managed fractional order systems adjacent to the study [12]-[22]. Some results of this paper were ...
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Comparison of fractional order techniques for measles dynamics
... non-integer order exponent on the qualitative behavior of ...the fractional SIRV model, when the parameters are ...four fractional order techniques in the paper, actually we check the best ...
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