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This paper deals with continued fraction expansion (CFE) based indirect discretization scheme for finding the rational approximation of fractional order differentiators and integrators and their discretized transfer functions. Indirect discretization approach is used for Al-Alaoui's Optimized four segment rule and Simpson 1/3 rule based differentiators and integrators of order ½ and ¼. These rational...
In this paper, new discretized models of fractional order differentiator (FOD) (sr) and fractional order integrator (FOI) (s-r) based on first and higher order operators are proposed. Specifically in this work, one-third (s??1/3) and one-fourth (s??1/4) order differentiator and integrator models based on first order Al-Alaoui and Hsue operator, second order Schneider operator and third order Al-Alaoui...
The aim of this paper is to develop a MATLAB function for one dimensional numerical integration based on adaptive algorithms and Gauss-Lobatto-Kronrod formulas. Using Maple, we find a triple of formulas, and then we use it to code ananalogous of MATLAB quadl function with a higher degree of exactness. Finally, some examples and tests which compare our function and quadl are given. Our function is...
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