Results 21 to 30 of about 755,580 (294)
On the Fractionalization of the Shift Operator on Graphs [PDF]
IEEE Access, 2022 The theory of graph signal processing has been established with the purpose of generalizing tools from classical digital signal processing to the cases where the signal domain can be modeled by an arbitrary graph. In this context, the present paper introduces the notion of fractional shift of signals on graphs, which is related to considering a non ...
Guilherme B. Ribeiro +2 more
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On Fractional GJMS Operators [PDF]
Communications on Pure and Applied Mathematics, 2015 We describe a new interpretation of the fractional GJMS operators as generalized Dirichlet‐to‐Neumann operators associated to weighted GJMS operators on naturally associated smooth metric measure spaces. This gives a geometric interpretation of the Caffarelli‐Silvestre extension for (−Δ)γ when γ ∊ (0,1), and both a geometric interpretation and a curved
Case, Jeffrey S., Chang, Sun-Yung Alice
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Boundary Problems for the Fractional and Tempered Fractional Operators [PDF]
Multiscale Modeling & Simulation, 2018 To characterize the Brownian motion in a bounded domain $\Omega$, it is well known that the boundary conditions of the classical diffusion equation just rely on the given information of the solution along the boundary of a domain; in contrast, for the Lévy flights or tempered Lévy flights in a bounded domain, the boundary conditions involve the ...
Weihua Deng +3 more
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Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces [PDF]
, 2021 We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights.
Samko, Natasha Gabatsuyevna +1 more
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Fractal and Fractional, 2021 Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and ...
A. Torres-Hernandez, F. Brambila-Paz
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Splines and fractional differential operators [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2020 Several classes of classical cardinal B-splines can be obtained as solutions of operator equations of the form [Formula: see text] where [Formula: see text] is a linear differential operator of integral order. In this paper, we consider classes of generalized B-splines consisting of cardinal polynomial B-splines of complex and hypercomplex orders and ...
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Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
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On a Fractional Monge–Ampère Operator [PDF]
Annals of PDE, 2015 In this paper we consider a fractional analogue of the Monge-Ampère operator. Our operator is a concave envelope of fractional linear operators of the form $ \inf_{A\in \mathcal{A}}L_Au, $ where the set of operators corresponds to all affine transformations of determinant one of a given multiple of the fractional Laplacian.
Luis Caffarelli, Fernando Charro
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Properties of the Katugampola Fractional Operators [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In this work, there are considered higher order fractional operators defined in the sense of Katugampola. There are proved some fundamental properties of the Katugampola fractional operators of any arbitrary real order.
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Analysis of fractal-fractional model of tumor-immune interaction
Results in Physics, 2021 Recently, Atangana proposed new operators by combining the fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study the complex dynamics of a problem.
Shabir Ahmad +4 more
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