Solving linear coupled fractional differential equations by direct operational method and some applications
type: Item
instance of: scholarly article
title: Solving linear coupled fractional differential equations by direct operational method and some applications
zbMATH Open document ID: 1264.34009
DOI: 10.1155/2012/653939
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A new direct operational inversion method is introduced for solving coupled linear systems of ordinary fractional differential equations. The solutions so-obtained can be expressed explicitly in terms of multivariate Mittag-Leffler functions. In the case where the multiorders are multiples of a common real positive number, the solutions can be reduced to linear combinations of Mittag-Leffler functions of a single variable. The solutions can be shown to be asymptotically oscillatory under certain conditions. This technique is illustrated in detail by two concrete examples, namely, the coupled harmonic oscillator and the fractional Wien bridge circuit. Stability conditions and simulations of the corresponding solutions are given.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 6173462
Wikidata QID: Q58912401
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/653939
OpenAlex ID: W1976530358
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description: scientific article; zbMATH DE number 6173462