Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions

An Yanning; Liu Wenjun

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Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions

机译：非均匀边界条件的非线性分数微分方程解的存在性

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摘要

In this paper we consider the existence of solution to systems of nonlinear conformable fractional differential equations with non-homogenous Dirichlet, Neumann, Sturm-Liouville conditions or the periodic condition. We show that the system has at least one solution by using tube solution and Schauder fixed point theorem.

机译：在本文中，我们考虑了具有非均匀Dirichlet，Neumann，Sturm-Liouville条件或周期性条件的非线性适形分数微分方程系统的解决方案。我们表明该系统通过使用管液和Schauder定理定理至少有一个解决方案。

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来源
《Journal of Applied Mathematics and Computing》 |2020年第2期|共20页
作者
An Yanning; Liu Wenjun;
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作者单位

Nanjing Univ Informat Sci &

Technol Sch Math &

Stat Nanjing 210044 Peoples R China;

Nanjing Univ Informat Sci &

Technol Sch Math &

Stat Nanjing 210044 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional differential equations; Existence of solution; Conformable fractional calculus; Fixed point theorem;

机译：分数微分方程;解决方案;适系的分数微积分;固定点定理;

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1. Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions [J] . An Yanning, Liu Wenjun Journal of Applied Mathematics and Computing . 2020,第1a2期

机译：非均匀边界条件的非线性分数微分方程解的存在性
2. Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions [J] . H. Zhang, W. Lu, Y. H. Li The Journal of Nonlinear Sciences and its Applications . 2016,第5期

机译：具有分数积分边界条件的非线性分数阶微分方程耦合系统解的存在唯一性
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

机译：半线上具有分数边界条件的非线性分数阶微分方程耦合系统解的存在性
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

机译：非线性分数阶微分方程的高阶边值问题的正解。
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

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
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 solutions for nonlinear fractional differential equations with non-homogenous boundary conditions

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