非线性分数阶微分方程边值问题正解的存在唯一性

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2014-01-16 DOI:10.5281/ZENODO.1336310

C. Gu, S. Zhong

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引用次数: 0

摘要

本文利用摄动混合单调算子的新不动点定理，研究了非线性分数阶微分方程边值问题正解的存在唯一性。我们的结果不仅可以保证正解的存在唯一性，而且可以用于构造逼近解的迭代格式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem

In this paper,by using of new fixed point theorem for mixed monotone operator with perturbation,the existence and uniqueness of positive solution for nonlinear fractional differential equation boundary value problem is concerned. Our results can not only guarantee the existence and uniqueness of positive solution,but also be applied to construct an iterative scheme for approximating the solution.

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来源期刊

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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