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Approximation by Linear Fractional Transformations of Simple Partial Fractions and Their Differences
Russian Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Individual differences in fraction arithmetic learning
Cognitive Psychology, 2019Understanding fractions is critical to mathematical development, yet many children struggle with fractions even after years of instruction. Fraction arithmetic is particularly challenging. The present study employed a computational model of fraction arithmetic learning, FARRA (Fraction Arithmetic Reflects Rules and Associations; Braithwaite, Pyke, and ...
David W. Braithwaite +3 more
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Comparison of h-Difference Fractional Operators
2013We compare three different types of h-difference fractional operators: Grunwald-Letnikov, Caputo, Riemann-Liouville types of operators. There is introduced the formula for fundamental matrix of solutions for linear systems of h-difference fractional equations with Grunwald-Letnikov type operator while the one with Caputo type or Riemann-Liouville type ...
Dorota Mozyrska +2 more
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A Mittag–Leffler fractional-order difference observer
Journal of the Franklin Institute, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Miguel Delfín-Prieto +1 more
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[Different heparin fractions].
Biulleten' eksperimental'noi biologii i meditsiny, 1976It was shown that treatment by 2-3 M KCl solutions of complex unfractionated preparations of heparin with hexamminecobalt (III) resulted in incorporation into the solution of a heparin fraction containing 3 residues of sulphuric acid per 1 residue in glucosamine.
S M, Bychkov, V N, Kharlamova
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Fractional Brownian motion and Martingale-differences
Statistics & Probability Letters, 2004Let \((\xi^{(n)})_{n\geq1}\) be a sequence of square integrable martingale-differences such that for all \(i\geq1\), \(\lim_{n\to\infty}n(\xi_{i}^{(n)})^2=1\) a.s. and for some \(C\geq1\), \(\max_{1\leq i\leq n}|\xi_{i}^{(n)}|\leq C/\sqrt n\) a.s. Let us define \(W_{t}^{n}:=\sum_{i=1}^{[nt]}\xi_{i}^{(n)}\), \(0\leq t\leq1\), and \(Z_{t}^{n}:=\int_{0 ...
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Fractional Differences and Lizorkin--Triebel Spaces
Mathematical Notes, 2002The author obtains inequalities for maximal functions of fractional differences and fractional derivatives. Based on these facts, the author introduces in the Triebel Lizorkin spaces \(F^s_{pq}= F^s_{pq} (R^n ...
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An access to fractional differentiation via fractional difference quotients
1975The purpose of this paper is to introduce the fractional derivative not via fractional integration but directly as a limit of a fractional difference quotient. In the case of 2π-periodic functions this enables one to set up a fractional calculus in a norm setting with the usual rules; connections with the classical Weyl fractional derivative are given.
Paul L. Butzer, Ursula Westphal
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On Differences of Fractional Order
Proceedings of the London Mathematical Society, 1957openaire +2 more sources
On the Riccati Difference Equation and Continued Fractions
Russian Journal of Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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