Results 21 to 30 of about 16,663 (301)
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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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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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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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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Fractal and Fractional, 2021 In this work, we investigate analytically the solutions of a nonlinear div-curl system with fractional derivatives of the Riemann–Liouville or Caputo types.
Briceyda B. Delgado +1 more
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Mathematics, 2021 In this paper, we study the recently proposed fractional-order operators with general analytic kernels. The kernel of these operators is a locally uniformly convergent power series that can be chosen adequately to obtain a family of fractional operators ...
Oscar Martínez-Fuentes +3 more
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Consistent Approximation of Fractional Order Operators [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2021 Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Yiheng Wei +3 more
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Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
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Analysis of the Fractional HIV Model under Proportional Hadamard-Caputo Operators
Fractal and Fractional, 2023 Modeling human immunodeficiency virus (HIV) via fractional operators has several benefits over the classical integer-order HIV model. The reason is that the fractional HIV model relies not only on the recent status but also on the former conduct of the ...
Areej A. Almoneef +2 more
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