Existence of a solution for the fractional differential equation with nonlinear boundary conditions

Shuqin Zhang

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Existence of a solution for the fractional differential equation with nonlinear boundary conditions

机译：具有非线性边界条件的分数阶微分方程解的存在性

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摘要

Using the method of upper and lower solutions and its associated monotone iterative, we present an existence theorem for a nonlinear fractional differential equation with nonlinear boundary conditions.

机译：利用上下解的方法及其相关的单调迭代，我们给出了具有非线性边界条件的非线性分数阶微分方程的存在性定理。

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来源
《Computers & mathematics with applications》 |2011年第4期|p.1202-1208|共7页
作者
Shuqin Zhang;
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作者单位

Department of Mathematics, China University of Miningand Technology, Beijing 100083, China;

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原文格式 PDF
正文语种 eng
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关键词
coupled upper solutions and lower; solutions; coupled quasisolution; monotone iterative method; fractional differential equation; nonlinear boundary conditions;

机译：上下解耦合;解;耦合拟解;单调迭代法;分数阶微分方程;非线性边界条件;

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2. Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line [J] . Yuji Liu, Bashir Ahmad, Ravi P Agarwal Advances in Difference Equations . 2013,第1期

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3. Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line [J] . Yuji Liu, Bashir Ahmad, Ravi P Agarwal Advances in Difference Equations . 2013,第1期

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4. Existence of solutions for sequential fractional differential equations with boundary conditions [C] . Ying Sun, Zhenlai Han Chinese Control Conference . 2020

机译：带边界条件的分数阶微分方程解的存在性
5. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

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6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

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7. Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions [O] . Haiyan Zhang, Yaohong Li, Wei Lu 2016

机译：分数积分边界条件的非线性分数微分方程耦合系统解决方案的存在性和唯一性

Existence of a solution for the fractional differential equation with nonlinear boundary conditions

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