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Licensed Unlicensed Requires Authentication Published by De Gruyter 2019

Fractional calculus and long-range interactions

Vasily E. Tarasov

Abstract

In this chapter, connection between equations with fractional integrodifferential operators and lattice models with long-range interactions is described. The fractional derivatives and integers on physical lattices and exact discretizations of derivatives of integer and noninteger orders are considered. The dynamics of system of particles with long-range interactions is related with the fractional continuous medium equations by transform operation. Exact discrete (lattice) analogs of fractional derivatives and integrals of integer and noninteger orders are described.

© 2019 Walter de Gruyter GmbH, Berlin/Munich/Boston
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