New Results for a Caputo Boundary Value Problem

Mohamed Houas; Zoubir Dahmani

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New Results for a Caputo Boundary Value Problem

机译：Caputo边值问题的新结果

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摘要

In this paper, we study a four point boundary problem for fractional differential equations. We establish new existence and uniqueness results using the Banach contraction principle. Other existence results are generated using the well known Schaefer’s fixed point theorem. To illustrate our results, we present some examples for the Banach contraction result. Other examples are also treated to illustrate our second main result.

机译：在本文中，我们研究分数阶微分方程的四点边界问题。我们使用Banach收缩原理建立新的存在性和唯一性结果。其他存在结果是使用众所周知的Schaefer不动点定理生成的。为了说明我们的结果，我们提供一些Banach收缩结果的示例。其他例子也被用来说明我们的第二个主要结果。

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《American Journal of Computational and Applied Mathematics》 |2013年第3期|共19页
作者
Mohamed Houas; Zoubir Dahmani;
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中图分类计算数学;
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New Results for a Caputo Boundary Value Problem

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