Phillips model with exponentially distributed lag and power-law memory

Tarasov, V.E.; Tarasova, V.V.

Информация о цитировании статьи получена из Web of Science, Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 10 апреля 2019 г.

Авторы: Tarasov V.E., Tarasova V.V.
Журнал: Computational and Applied Mathematics
Том: 38
Номер: 1
Год издания: 2019
Издательство: SPRINGER
Местоположение издательства: VAN GODEWIJCKSTRAAT 30, DORDRECHT, NETHERLANDS, 3311GZ
Первая страница: 13-1
Последняя страница: 13-16
DOI: 10.1007/s40314-019-0775-y
Аннотация: In this paper, we propose two generalizations of the Phillips model of multiplier–accelerator by taking into account memory with power-law fading. In the first generalization we consider the model, where we replace the exponential weighting function by the power-law memory function. In this model we consider two power-law fading memories, one on the side of the accelerator (induced investment responding to changes in output with memory-fading parameter α) and the other on the supply side (output responding to demand with memory-fading parameter β). To describe power-law memory we use the fractional derivatives in the accelerator equation and the fractional integral in multiplier equation. The solution of the model fractional differential equation is suggested. In the second generalization of the Phillips model of multiplier–accelerator we consider the power-law memory in addition to the continuously (exponentially) distributed lag. Equation, which describes generalized Phillips model of multiplier–accelerator with distributed lag and power-law memory, is solved using Laplace method.
Добавил в систему: Тарасов Василий Евгеньевич

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Phillips model with exponentially distributed lag and power-law memoryстатья

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