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20092023
most citedA new difference scheme for the time fractional diffusion equation

904 citations

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Showing 2018Show all

5 papers · 1 filter

cond-mat.stat-mech2018★ 5 cited

Universal cluster size distribution in a system of randomly spaced particles

Murat Kh. Khokonov, Azamat Kh. Khokonov

The distribution function of particles over clusters is proposed for a system of identical intersecting spheres, the centres of which are uniformly distributed in space. Considerat…

math.FA2018

Riemann-Liouville Operator in Weighted L_p Spaces via the Jacobi Series Expansion

M. V. Kukushkin

In this paper we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann-Liouville fractional integral and derivative operators on a compact of the real…

physics.class-ph2018★ 4 cited

Equivalence between electromagnetic self-energy and self-mass

Murat Khokonov, Jens Ulrik Andersen

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an…

math.FA2018★ 1 cited

Asymptotics of Eigenvalues for Differential Operators of Fractional Order

M. V. Kukushkin

In this paper we deal with a second order multidimensional fractional differential operator. We consider a case where the leading term represented by the uniformly elliptic operato…

cond-mat.mes-hall2018★ 11 cited

Friction and Radiative Heat Exchange in a System of Two Parallel Plates Moving Sideways : Levin-Polevoy-Rytov Theory Revisited

G. V. Dedkov, A. A. Kyasov

It is shown that the fundamental results obtained in the works by Levine, Polevoi, Rytov (1980) and Polevoi (1990), based on the fluctuation-electromagnetic theory by Levine and Ry…