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DOI: https://doi.org/10.4213/tmf6324

Аннотация: Доказано, что электромагнитные поля в диэлектрических средах, восприимчивость которых в широком частотном диапазоне подчиняется дробно-степенной зависимости, описываются дифференциальными уравнениями с производными нецелого порядка по времени. Получены дробные интегро-дифференциальные уравнения для электромагнитных волн в диэлектрике. Электромагнитные поля в диэлектриках демонстрируют дробно-степенную релаксацию. Дробные интегро-дифференциальные уравнения для электромагнитных волн являются общими для широкого класса диэлектрических сред независимо от физической структуры, химического состава или природы поляризации (дипольная, электронная или ионная).

Ключевые слова: дробное интегро-дифференцирование, дробное затухание, универсальный ответ, электромагнитное поле, диэлектрические среды.

Поступило в редакцию: 18.12.2007
После доработки: 24.06.2008

Англоязычная версия:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 355–359
DOI: https://doi.org/10.1007/s11232-009-0029-z

Реферативные базы данных:

Образец цитирования: В. Е. Тарасов, “Дробные интегро-дифференциальные уравнения для электромагнитных волн в диэлектрических средах”, ТМФ, 158:3 (2009), 419–424; Theoret. and Math. Phys., 158:3 (2009), 355–359

Цитирование в формате AMSBIB

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https://doi.org/10.4213/tmf6324

https://www.mathnet.ru/rus/tmf/v158/i3/p419

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