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Chapter 4. Fractional calculus and long-range interactionsстатья
- Автор: Tarasov V.E.
- Сборник: Handbook of Fractional Calculus with Applications. Volume 4: Applications in Physics, Part A.
- Редактор: Тарасов Василий Евгеньевич
- Том: 4
- Глава в коллективной монографии
- Год издания: 2019
- Издательство: Walter de Gruyter GmbH & Co. KG
- Местоположение издательства: Germany
- Первая страница: 75
- Последняя страница: 101
- DOI: 10.1515/9783110571707-004
- Аннотация: 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.
- Добавил в систему: Тарасов Василий Евгеньевич