A reproducing kernel method for solving nonlocal fractional boundary value problems

Geng F.; Cui M.

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A reproducing kernel method for solving nonlocal fractional boundary value problems

机译：一种求解非局部分数边值问题的再生核方法

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摘要

In our previous works, we proposed a reproducing kernel method for solving singular and nonsingular boundary value problems of integer order based on the reproducing kernel theory. In this letter, we shall expand the application of reproducing kernel theory to fractional differential equations and present an algorithm for solving nonlocal fractional boundary value problems. The results from numerical examples show that the present method is simple and effective.

机译：在我们以前的工作中，我们提出了一种基于再生核理论的求解整数阶奇异和非奇异边值问题的再生核方法。在这封信中，我们将把重现核理论的应用扩展到分数阶微分方程，并提出一种求解非局部分数阶边值问题的算法。数值算例结果表明，该方法简单有效。

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《Applied mathematics letters》 |2012年第5期|共6页
作者
Geng F.; Cui M.;
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正文语种 eng
中图分类应用数学;
关键词
Fractional differential equations; Nonlocal boundary value problems; Reproducing kernel method; Series solutions;

机译：分数阶微分方程;非局部边值问题;再现核法;级数解;

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机译：一种解决非局部分数边值问题的再生核方法

A reproducing kernel method for solving nonlocal fractional boundary value problems

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