Results 21 to 30 of about 535,598 (86)

Operational Calculus for the general fractional derivatives with the Sonine kernels

, 2021
30 pages.
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General fractional integral operators do not preserve periodicity

Examples and Counterexamples
If a periodic real function is differentiable, its derivative is also periodic with the same period. The primitive of a periodic function is periodic if the mean value of the function, over a period, is zero.It is well known that the fractional integral ...
Hamza Al-Shdaifat, Juan J. Nieto, Rosana Rodríguez-López   +2 more
doaj   +1 more source

On a q-Dunkl sonine transform [PDF]

, 2013
In this paper, we introduce and study the q-Dunkl Sonine transform and we establish a Plancherel formula for its dual.
Bettaieb, Rym Hasna, Bennasr, Lassad, Nouri, Ferjani   +2 more
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Hydrothermal Memory Kernels for Volcanic Gas and Isotope Signals: Volterra–Spectral Structure and Boundary-Aware Synthetic Comparison

Fractal and Fractional
Volcanic gas and isotope anomalies can retain delayed effects of shallow hydrothermal storage, transfer and selective chemical removal before they are measured at the surface.
Sebastiano Ettore Spoto
doaj   +1 more source

Self-diffusion in a dense magnetized plasma [PDF]

, 1984
Self-diffusion through dense classical one-component plasmas in a uniform magnetic field is studied by means of renormalized kinetic theory. Extensions of the Landau and the Rostoker equations to plasmas of high density are derived.
J.S. Cohen, Suttorp, L.G., Cohen, J.S., L.G. Suttorp   +3 more
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Locally linear approximation for Kernel methods : the Railway Kernel [PDF]

, 2008
In this paper we present a new kernel, the Railway Kernel, that works properly for general (nonlinear) classification problems, with the interesting property that acts locally as a linear kernel.
González, Javier, Muñoz, Alberto
core   +1 more source

Searching for Sonin kernels

Fractional Calculus and Applied Analysis
AbstractThe causal shift-invariant convolution is studied from the point of view of inversion. Abel’s algorithm, used in the tautochrone problem, is considered and Sonin’s existence condition is deduced. To generate pairs of functions verifying Sonin’s condition, the class of Mittag-Leffler type functions is used.
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kernlab - An S4 package for kernel methods in R [PDF]

, 2004
kernlab is an extensible package for kernel-based machine learning methods in R. It takes advantage of R's new S4 object model and provides a framework for creating and using kernel-based algorithms. The package contains dot product primitives (kernels),
Zeileis, Achim, Kurt Hornik, Smola, Alex, Alexandros Smola, Achim Zeileis, Smola, Alexandros, Karatzoglou, Alexandros, Hornik, Kurt, Alexandros Karatzoglou, Technische Universität Wien, Alex Smola   +10 more
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Beta distributions and Sonine integrals for Bessel functions on symmetric cones [PDF]

, 2018
There exist several multivariate extensions of the classical Sonine integral representation for Bessel functions of some index μ + v with respect to such functions of lower index μ.
Voit, Michael, Rösler, Margit
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Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties. First, we show that this master equation can be embedded into the framework of continuous time random walks, and we derive an explicit formula ...
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
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