Numerical solution of multi-term fractional differential equations

Katsikadelis, JT

dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:31:29Z
dc.date.available	2014-03-01T01:31:29Z
dc.date.issued	2009	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19802
dc.subject	Analog equation method	en
dc.subject	Fractional differential equations	en
dc.subject	Multi-term equations	en
dc.subject	Numerical solution	en
dc.subject	Systems of multi-term equations	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	DERIVATIVES	en
dc.subject.other	CALCULUS	en
dc.subject.other	SYSTEMS	en
dc.title	Numerical solution of multi-term fractional differential equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.200900252	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.200900252	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A numerical solution method is presented for linear multi-term fractional differential equations (FDEs) with variable coefficients. The presented method is based on the concept of the analog equation, which converts the multi-term FDE into a single term FDE with a fictitious source (right hand inhomogeneous term). The fictitious source is established from the integral representation of the solution of the substitute single term equation. The constructed algorithms are stable. Their accuracy depends only on the truncation and round-off errors, which, however, negligibly influence the accuracy. The method is demonstrated by the one- and two-term FDEs. The developed algorithms apply also to systems of multi-term FDEs. Several examples are presented, which demonstrate the efficiency and the accuracy of the proposed method. The method is straightforward extended to nonlinear FDEs. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/zamm.200900252	en
dc.identifier.isi	ISI:000268469600006	en
dc.identifier.volume	89	en
dc.identifier.issue	7	en
dc.identifier.spage	593	en
dc.identifier.epage	608	en