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Remarks on five equivalent forms of the fractional – order backward – difference
(2014)
In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville ...
High-accuracy numerical integration methods for fractional order derivatives and integrals computations
(2014)
In this paper the authors present highly accurate and remarkably efficient computational methods for fractional order derivatives and integrals applying Riemann-Liouville and Caputo formulae: the Gauss-Jacobi Quadrature ...
Variable-, fractional-order digital filter - application
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2014)
[...] This chapter is organised as follows. First, in Section 2 fundamental definition
of the VFOBD is given. Next the VFO-DF fundamental structure is
proposed. In Section 3 two equivalent descriptions of the VFO-DF a ...
Variable-, fractional-order digital filter theoretical background
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology Press, 2014)
In this chapter variable-, fractional-order digital filters are considered. Two
equivalent filter description methods are presented. Also the filter response
to any discrete-time signal is given due to both introduced ...