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  • 标题:Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results
  • 本地全文:下载
  • 作者:Qasem M Al-Mdallal
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:18
  • DOI:10.1186/1687-1847-2012-18
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This article is devoted to both the theoretical and numerical study of boundary-value problems for nonlinear fractional integro-differential equations. Positivity and uniqueness results for the problem are provided and proved. Two monotone sequences of upper and lower solutions which converge uniformly to the unique solution of the problem are constructed using the method of lower and upper solutions. Sufficient numerical examples are discussed to corroborate the theory presented herein.
  • 关键词:nonlinear fractional integro-differential equations ; monotone iterative method ; lower and upper solutions.
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