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  • 标题:Analysis of Fractional Splines Interpolation and Optimal Error Bounds
  • 本地全文:下载
  • 作者:Faraidun K. Hamasalh ; Pshtiwan O. Muhammad
  • 期刊名称:American Journal of Numerical Analysis
  • 印刷版ISSN:2372-2118
  • 电子版ISSN:2372-2126
  • 出版年度:2015
  • 卷号:3
  • 期号:1
  • 页码:30-35
  • DOI:10.12691/ajna-3-1-5
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:This paper presents a formulation and a study of three interpolatory fractional splines these are in the class of mα, m = 2, 4, 6, α = 0:5. We extend fractional splines function with uniform knots to approximate the solution of fractional equations. The developed of spline method is to analysis convergence fractional order derivatives and estimating error bounds. We propose spline fractional method to solve fractional differentiation equations. Numerical example is given to illustrate the applicability and accuracy of the methods.
  • 关键词:fractional integral and derivative; caputo derivative; error bound
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