IIR approximations to the fractional differentiator/integrator using Chebyshev polynomials theory

► Design of IIR approximations to the fractional-order differentiators/integrators, based on Chebyshev polynomials theory. ► Better accuracy of the proposed methods in comparison with other approximations widely cited in literature. ► Improved frequency response of fractional-order integrator approximations at low frequencies, keeping the integrator effect.