A NEW SPECTRAL-COLLOCATION METHOD FOR SOLVING MULTI ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

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HOSSEINI S.GH.; MOHAMMADI F.; HEIDARI M.H.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

A NEW SPECTRAL-COLLOCATION METHOD FOR SOLVING MULTI ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

Author(s)

HOSSEINI S.GH. | MOHAMMADI F. | HEIDARI M.H. | Issue Writer Certificate

Keywords

SPECTRAL METHOD

OPERATIONAL MATRIX

CHEBYSHEV POLYNOMIAL

COLLOCATION

MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATION

Abstract

IN THIS PAPER A NEW OPERATIONAL MATRIX OF FRACTIONAL ORDER DERIVATIVE FOR CHEBYSHEV POLYNOMIAL IS PRESENTED. SHIFTED CHEBYSHEV POLYNOMIALS AND THEIR PROPERTIES ARE EMPLOYED FOR DERIVING A GENERAL PROCEDURE FOR FORMING THIS MATRIX. THE APPLICATION OF THE PROPOSED OPERATIONAL MATRIX FOR SOLVING MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATION IS EXPLAINED. THE OBTAINED RESULTS DEMONSTRATE EFFICIENCY AND CAPABILITY OF THE PROPOSED METHOD.

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APA: Copy

HOSSEINI, S.GH., MOHAMMADI, F., & HEIDARI, M.H.. (2012). A NEW SPECTRAL-COLLOCATION METHOD FOR SOLVING MULTI ORDER FRACTIONAL DIFFERENTIAL EQUATIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926348/en

Vancouver: Copy

HOSSEINI S.GH., MOHAMMADI F., HEIDARI M.H.. A NEW SPECTRAL-COLLOCATION METHOD FOR SOLVING MULTI ORDER FRACTIONAL DIFFERENTIAL EQUATIONS. 2012. Available from: https://sid.ir/paper/926348/en

IEEE: Copy

S.GH. HOSSEINI, F. MOHAMMADI, and M.H. HEIDARI, “A NEW SPECTRAL-COLLOCATION METHOD FOR SOLVING MULTI ORDER FRACTIONAL DIFFERENTIAL EQUATIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926348/en

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