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- W3105823702 endingPage "14910" @default.
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- W3105823702 abstract "Discrete systems with long-range interactions are considered. Continuous medium models as continuous limit of discrete chain system are defined. Long-range interactions of chain elements that give the fractional equations for the medium model are discussed. The chain equations of motion with long-range interaction are mapped into the continuum equation with the Riesz fractional derivative. We formulate the consistent definition of continuous limit for the systems with long-range interactions. In this paper, we consider a wide class of long-range interactions that give fractional medium equations in the continuous limit. The power-law interaction is a special case of this class." @default.
- W3105823702 created "2020-11-23" @default.
- W3105823702 creator A5005919362 @default.
- W3105823702 date "2006-11-15" @default.
- W3105823702 modified "2023-09-29" @default.
- W3105823702 title "Continuous limit of discrete systems with long-range interaction" @default.
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- W3105823702 doi "https://doi.org/10.1088/0305-4470/39/48/005" @default.
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