Displaying similar documents to “Approximation by mean of fractional parts of a polynomial.”

Left general fractional monotone approximation theory

George A. Anastassiou (2016)

Applicationes Mathematicae

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We introduce left general fractional Caputo style derivatives with respect to an absolutely continuous strictly increasing function g. We give various examples of such fractional derivatives for different g. Let f be a p-times continuously differentiable function on [a,b], and let L be a linear left general fractional differential operator such that L(f) is non-negative over a closed subinterval I of [a,b]. We find a sequence of polynomials Qₙ of degree ≤n such that L(Qₙ) is non-negative...

Optimal approximation simulation and analog realization of the fundamental fractional order transfer function

Abdelbaki Djouambi, Abdelfatah Charef, Alina Voda besancon (2007)

International Journal of Applied Mathematics and Computer Science

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This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems fora given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase...