A Numerical Method for Delayed Fractional-Order Differential Equations
Keyword(s):
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.
2019 ◽
Vol 42
(18)
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pp. 6944-6959
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2013 ◽
Vol 7
(2L)
◽
pp. 525-529
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2020 ◽
Vol 0
(0)
◽
Keyword(s):
Keyword(s):