The design of fractional order inverse Chebyshev low pass filter has been presented in this paper. (1+α) filters have designed by comparing the transfer function notch with second-order filter. Particle swarm optimization utilized to derive coefficients fractional-order varying α from 0.1 0.9. canonical forms these realized using multiple input Biquad circuits. value circuit elements for each d...

In this paper, a generalized rational Chebyshev approximation problem is considered. The problem is this: To minimize the maximum absolute value of the "criterion function" of the error. By imposing a rather natural restriction on the criterion function, the problem is solved completely; the existence, the uniqueness and the characterization of the best approximation are clarified and interesti...

In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...

Abstract In this paper we consider the problem of approximation definite integrals on finite intervals for integrand functions showing some kind “pathological” behavior, e.g. “nearly” singular functions, highly oscillating weakly etc. particular, introduce and study a product rule based equally spaced nodes constrained mock-Chebyshev least squares operator. Like other polynomial or rational met...

In this paper‎, ‎a modern method is presented to solve a class of fractional optimal control problems (FOCPs) indirectly‎. ‎First‎, ‎the necessary optimality conditions for the FOCP are obtained in the form of two fractional differential equations (FDEs)‎. ‎Then‎, ‎the unknown functions are approximated by the hybrid functions‎, ‎including Bernoulli polynomials and Block-pulse functions based o...