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

被引：9

作者：

Al-Mdallal, Qasem M. ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

nonlinear fractional integro-differential equations; monotone iterative method; lower and upper solutions; MONOTONE ITERATIVE SEQUENCES;

D O I：

10.1186/1687-1847-2012-18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 13

页数：13

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