文章基本信息

标题：Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results
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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.