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一类非线性分数阶微分方程边值问题正解的存在唯一性

Existence & Uniqueness of Positive Solution to A Class of Nonlinear Fractional Differential Equation Boundary Value Problems
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摘要 利用混合单调算子不动点定理,研究了一类非线性分数阶微分方程边值问题正解的存在唯一性.主要结论不仅保证了正解的存在唯一性,而且能够构造一迭代序列去逼近此解.最后,举例说明所得结论的有效性. In this paper, by using the fixed point theorem for mixed monotone operator, the existence and uniqueness of positive solution to nonlinear fractional differential equation boundary value problems is concerned. Our results can not only guarantee the existence and uniqueness of positive solution, but also be applied to con- struct an iterative scheme for approximating the solution. Finally, the example is given to illustrate the main result.
作者 古传运
机构地区 四川文理学院数学与财经学院
出处 《绵阳师范学院学报》 2014年第2期18-22,26,共6页 Journal of Mianyang Teachers＇ College
基金 四川文理学院校级科研项目(2012Z004Z 2012Z005Y) 四川省教育厅2014年度一般项目(14ZB0309)
关键词 分数阶微分方程 边值问题 正解 存在唯一性 混合单调算子 不动点定理 fractional differential equation boundary value problem positive solution existence and uniqueness mixed monotone operator fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献13

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绵阳师范学院学报
2014年 第2期

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