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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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On the algebraic dimension of Riesz spaces
Математичні Студії, 2021 We prove that the algebraic dimension of an infinite dimensional $C$-$\sigma$-complete Riesz space (in particular, of a Dedekind $\sigma$-complete and a laterally $\sigma$-complete Riesz space) with the principal projection property which either has a ...
N. M. Baziv, O. B. Hrybel
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Hypercompletions of Riesz spaces [PDF]
Proceedings of the American Mathematical Society, 1990 It is shown that each Riesz space with separating order continuous dual can be embedded in a unique " e e -hypercompletion," where e e is a fixed weak unit of the extended order continuous dual.
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Biframes and some of their properties
Journal of Inequalities and Applications, 2022 Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of frames. In this paper, the concept of biframe is
Maryam Firouzi Parizi +2 more
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Rocky Mountain Journal of Mathematics, 2001 The authors provide and inspect three approaches to define a square of a Riesz space on using \(f\)algebras, tensor products, and functional realization. They show that these approaches are equivalent, yielding an (essentially) unique space.
Buskes, G., van Rooij, A.
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Convergence of Riesz space martingales [PDF]
, 2006 We prove a martingale convergence for sub and super martingales on Riesz spaces. As a consequence we can form Krickeberg and Riesz like decompositions. The minimality of the Krickeberg decomposition yields a natural ordered lattice structure on the space
Labuschagne, Coenraad C.A. +2 more
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Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains [PDF]
, 2015 Subdiffusion equations with distributed-order fractional derivatives describe some important physical phenomena. In this paper, we consider the time distributed-order and Riesz space fractional diffusions on bounded domains with Dirichlet boundary ...
Turner, I., Ye, H., Liu, F., Anh, V.
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Projection lateral bands and lateral retracts
Karpatsʹkì Matematičnì Publìkacìï, 2020 A projection lateral band $G$ in a Riesz space $E$ is defined to be a lateral band which is the image of an orthogonally additive projection $Q: E \to E$ possessing the property that $Q(x)$ is a fragment of $x$ for all $x \in E$, called a lateral ...
A. Kamińska, I. Krasikova, M. Popov
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Finite element implementation of general triangular mesh for Riesz derivative
Partial Differential Equations in Applied Mathematics, 2021 In this work, we will study a calculation method of variation formula with Riesz fractional derivative. As far as we know, Riesz derivative is a non-local operator including 2ndirections in n−dimension space, which the difficulties for computation of ...
Daopeng Yin, Liquan Mei
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Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term [PDF]
, 2013 Fractional differential equations have attracted considerable interest because of their ability to model anomalous transport phenomena. Space fractional diffusion equations with a nonlinear reaction term have been presented and used to model many ...
Che, Shiping +4 more
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