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| 非线性分数阶微分积分方程多点分数阶边值问题解的存在性与唯一性 | |
| 引用本文： | 马俊驰,杨军. 非线性分数阶微分积分方程多点分数阶边值问题解的存在性与唯一性[J]. 应用数学, 2011, 24(3) |
| 作者姓名： | 马俊驰 杨军 |
| 作者单位： | 1. 燕山大学理学院,河北秦皇岛,066004 2. 燕山大学理学院,河北秦皇岛066004;河北省数学研究中心,河北石家庄050000 |
| 基金项目： | Supported by the NNSF of China(60604004); the Special Projects in Mathematics Funded by NSF of Hebei Province(07M005); the Science and Technology Support Project of Qinhuangdao(201001A037) |
| 摘 要： | 本文研究一类非线性分数阶微分积分方程多点分数阶边值问题解的存在性与唯一性,利用一些标准的不动点定理进行证明. |
| 关 键 词： | 非线性分数阶微分方程 多点分数阶边值问题 不动点定理 |
Existence and Uniqueness of Solutions for Multi-point Fractional Boundary Value Problems for Nonlinear Fractional Integro-differential Equations |
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| MA Junchi , YANG Jun. Existence and Uniqueness of Solutions for Multi-point Fractional Boundary Value Problems for Nonlinear Fractional Integro-differential Equations[J]. Mathematica Applicata, 2011, 24(3) | |
| Authors: | MA Junchi YANG Jun |
| Affiliation: | MA Junchi1,YANG Jun1,2(1.College of Science,Yanshan University,Qinhuangdao066004,China,2.Mathematics Research Center in Hebei Province,Shijiazhuang050000,China) |
| Abstract: | In this paper,we investigate the existence and uniqueness of solutions for a class of multi-point fractional boundary value problems for nonlinear fractional integro-differential equations.Our analysis relies on the some standard fixed point theorems. |
| Keywords: | Nonlinear fractional differential equation Multi-point fractional boundary value problem Fixed point theorem |
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