A Numerical Method for Delayed Fractional-Order Differential Equations | Zendy

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A Numerical Method for Delayed Fractional-Order Differential Equations

Author(s) -

Zhen Wang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/256071

Subject(s) - mathematics , linear multistep method , nonlinear system , order (exchange) , differential equation , interpolation (computer graphics) , mathematical analysis , numerical analysis , fractional calculus , ordinary differential equation , differential algebraic equation , computer science , physics , motion (physics) , finance , quantum mechanics , artificial intelligence , economics

A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractional-order differential equations. Meanwhile, the detailed error analysis for this algorithm is given. In order to compare with the exact analytical solution, a numerical example is provided to illustrate the effectiveness of the proposed method

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