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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Inversion of the Attenuated X-Ray Transforms: Method of Riesz Potentials
Journal of Function Spaces, 2020 The attenuated X-ray transform arises from the image reconstruction in single-photon emission computed tomography. The theory of attenuated X-ray transforms is so far incomplete, and many questions remain open.
Yu Yufeng
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On a class of stochastic fractional kinetic equation with fractional noise
Advances in Difference Equations, 2021 In this article we study a class of stochastic fractional kinetic equations with fractional noise which are spatially homogeneous and are fractional in time with H > 1 / 2 $H>1/2$ .
Min Lu, Junfeng Liu
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
Riesz transform and Riesz potentials for Dunkl transform
, 2007 Analogues of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weight functions that are invariant under a reflection group.
Thangavelu, Sundaram, Xu, Yuan
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Journal of Inequalities and Applications, 2020 Hypersingular integrals have appeared as effective tools for inversion of multidimensional potential-type operators such as Riesz, Bessel, Flett, parabolic potentials, etc.
Melih Eryiğit +2 more
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Regularity for Quasi-Linear p-Laplacian Type Non-Homogeneous Equations in the Heisenberg Group
Mathematics, 2022 When 2−1 ...
Chengwei Yu
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Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
An L1-type estimate for Riesz potentials
, 2017 In this paper we establish new L1-type estimates for the classical Riesz potentials of order α∈(0,N): ∥Iαu∥LN/(N−α)(RN)≤C∥Ru∥L1(RN;RN). This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space H1(
Van Schaftingen, Jean +5 more
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Fractal and FractionalIn this article, we investigate the regularization and qualitative properties of parabolic Ginzburg–Landau equations in variable exponent Herz spaces. These spaces capture both local and global behavior, providing a natural framework for our analysis. We
Waqar Afzal +3 more
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