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Waveform relaxation methods for fractional functional differential equations

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Abstract

In this paper, we use waveform relaxation method to solve fractional functional differential equations. Under suitable conditions imposed on the so-called splitting functions the convergence results of the waveform relaxation method are given. Delay dependent error estimates for the method are derived. Error bounds for some special cases are considered. Numerical examples illustrate the feasibility and efficiency of the method. It is the first time for applying the method in the fractional functional differential equations.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, China

    Xiao-Li Ding & Yao-Lin Jiang

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  1. Xiao-Li Ding
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  2. Yao-Lin Jiang
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Correspondence to Xiao-Li Ding.

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Ding, XL., Jiang, YL. Waveform relaxation methods for fractional functional differential equations. fcaa 16, 573–594 (2013). https://doi.org/10.2478/s13540-013-0037-4

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  • DOI: https://doi.org/10.2478/s13540-013-0037-4

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