Results 1 to 10 of about 363 (235)
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation [PDF]
Advances in Difference Equations, 2021 The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused by COVID-19 and ...
Mutaz Mohammad +2 more
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An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations [PDF]
Entropy, 2020 This paper is devoted to shedding some light on the advantages of using tight frame systems for solving some types of fractional Volterra integral equations (FVIEs) involved by the Caputo fractional order derivative.
Mutaz Mohammad +2 more
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Unitary extension principle on zero-dimensional locally compact groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this article, we obtain methods for constructing step tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension.
Lukomskii, Sergei Feodorovich +1 more
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On the Exact Evaluation of Integrals of Wavelets
Mathematics, 2023 Wavelet expansions are a powerful tool for constructing adaptive approximations. For this reason, they find applications in a variety of fields, from signal processing to approximation theory.
Enza Pellegrino +2 more
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Some Results on a New Refinable Class Suitable for Fractional Differential Problems
Fractal and Fractional, 2022 In recent years, we found that some multiscale methods applied to fractional differential problems, are easy and efficient to implement, when we use some fractional refinable functions introduced in the literature.
Laura Pezza, Luca Tallini
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Fractional Dynamical Systems Solved by a Collocation Method Based on Refinable Spaces
Axioms, 2023 A dynamical system is a particle or set of particles whose state changes over time. The dynamics of the system is described by a set of differential equations. If the derivatives involved are of non-integer order, we obtain a fractional dynamical system.
Laura Pezza, Simmaco Di Lillo
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A Class of Weak Dual Wavelet Frames for Reducing Subspaces of Sobolev Spaces
Journal of Function Spaces, 2022 In recent years, dual wavelet frames derived from a pair of refinable functions have been widely studied by many researchers. However, the requirement of the Bessel property of wavelet systems is always required, which is too technical and artificial. In
Jianping Zhang
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Geometric convergence rates for cardinal spline subdivision with general integer arity
Journal of Numerical Analysis and Approximation Theory, 2019 A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject.
Johan de Villiers +1 more
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Refinement equations and spline functions [PDF]
Advances in Computational Mathematics, 2008 In this paper, we exploit the relation between the regularity of refinable functions with non-integer dilations and the distribution of powers of a fixed number modulo 1, and show the nonexistence of a non-trivial {\bf C}^{\infty} solution of the refinement equation with non-integer dilations.
Dubickas, Artūras, Xu, Zhiqiang
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Applied General Topology, 2023 We introduce the notion of uniformly refinable map for compact, Hausdorff spaces, as a generalization of refinable maps originally defined for metric continua by Jo Ford (Heath) and Jack W. Rogers, Jr., Refinable maps, Colloq. Math., 39 (1978), 263-269.
Sergio Macías
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