Results 11 to 20 of about 3,363,294 (297)
On Fractional Symmetric Hahn Calculus
Mathematics, 2019 In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann−Liouville and Caputo types
Nichaphat Patanarapeelert +1 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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Differences of fractional order [PDF]
Mathematics of Computation, 1974 Derivatives of fractional order, D α
Diaz, J. B., Osler, T. J.
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Вестник Самарского университета: Естественнонаучная серия, 2023 For modeling in time series, models with fractional differences are widely used. The best known model is the ARFIMA (autoregressive fractionally integrated moving average) model.
Dmitriy V. Ivanov
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A Fast Fractional Difference Algorithm [PDF]
SSRN Electronic Journal, 2013 AbstractWe provide a fast algorithm for calculating the fractional difference of a time series. In standard implementations, the calculation speed (number of arithmetic operations) is of order T2, where T is the length of the time series. Our algorithm allows calculation speed of order TlogT.
Jensen, Andreas Noack +1 more
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
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Exact Discretization of an Economic Accelerator and Multiplier with Memory
Fractal and Fractional, 2017 Fractional differential equations of macroeconomics, which allow us to take into account power-law memory effects, are considered. We describe an economic accelerator and multiplier with fading memory in the framework of discrete-time and continuous-time
Valentina V. Tarasova, Vasily E. Tarasov
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Oscillatory behavior of nonlinear Hilfer fractional difference equations
Advances in Difference Equations, 2021 In this paper, we study the oscillation behavior for higher order nonlinear Hilfer fractional difference equations of the type Δ a α , β y ( x ) + f 1 ( x , y ( x + α ) ) = ω ( x ) + f 2 ( x , y ( x + α ) ) , x ∈ N a + n − α , Δ a k − ( n − γ ) y ( x ) |
Tuğba Yalçın Uzun
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On substantial fractional difference operator
Advances in Difference Equations, 2020 In this article, new definitions of fractional substantial sum and difference operators are introduced. Some properties are established and used to generate a fixed point operator for an arbitrary real order substantial system with conditions involving ...
Syed Sabyel Haider, Mujeeb ur Rehman
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Note on fractional difference Gronwall inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This note is a reaction on a bunch of fractional inequalities that appeared in the last few years, and that are all based on what claims to be a fractional discrete Gronwall inequality.
Michal Fečkan, Michal Pospíšil
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