Spectral method for solution of the fractional transport equation

Kadem, Abdelouhab; Luchko, Yury; Baleanu, Dumitru

dc.contributor.author	Kadem, Abdelouhab
dc.contributor.author	Luchko, Yury
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2016-06-10T09:03:45Z
dc.date.available	2016-06-10T09:03:45Z
dc.date.issued	2010-08
dc.identifier.citation	Kadem, A., Luchko, Y., Baleanu, D. (2010). Spectral method for solution of the fractional transport equation. Reports On Mathematical Physics, 66(1), 103-115.	tr_TR
dc.identifier.issn	0034-4877
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1070
dc.description.abstract	In this paper, the Chebyshev polynomials expansion method is applied to find both an analytical solution of the fractional transport equation in the one-dimensional plane geometry and its numerical approximations. The idea of the method is in reducing of the fractional transport equation to a system of the linear fractional differential equations for the unknown coefficients of the Chebyshev polynomials expansion. The obtained system of equations is then solved by using the operational method for the Caputo fractional derivative	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Pergamon-Elsevier Science	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Fractional Calculus	tr_TR
dc.subject	Fractional Transport Equation	tr_TR
dc.subject	Chebyshev Polynomials	tr_TR
dc.title	Spectral method for solution of the fractional transport equation	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Reports On Mathematical Physics	tr_TR
dc.identifier.volume	66	tr_TR
dc.identifier.issue	1	tr_TR
dc.identifier.startpage	103	tr_TR
dc.identifier.endpage	115	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR