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Solutions to Boundary Value Problem of Nonlinear Impulsive Differential Equation of Fractional Order
  • 期刊名称:Communications In Mathematical Research
  • 时间:0
  • 页码:114-126
  • 分类:O347.41[理学—固体力学;理学—力学] O175.8[理学—数学;理学—基础数学]
  • 作者机构:[1]Department of Mathematics, China University of Mining and Technology, Beijing, 100083
  • 相关基金:Foundation item; The NSF (10971221) of China, The Youth Research Found (2009QS07) of China University of Mining and Technology, Beijing.
  • 相关项目:分数阶微分方程边值问题解的定性理论研究
作者: Xinwei Su|
中文摘要:

这份报纸被奉献与冲动的效果学习非线性的部分微分方程的一个边界价值问题的答案的存在和唯一。争论在 Schauder 和 Banach 定点 theorems.We 之上被基于改进并且概括介绍在的结果[B。Ahmad, S。Sivasundaram,非线性的冲动的混合边界的存在结果珍视包含部分微分方程的问题,非线性的分析:混合系统, 3 (2009 ) , 251-258 ] 。

英文摘要:

This paper is devoted to study the existence and uniqueness of solutions to a boundary value problem of nonlinear fractional differential equation with impulsive effects.The arguments are based upon Schauder and Banach fixed-point theorems. We improve and generalize the results presented in[B.Ahmad,S.Sivasundaram, Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations,Nonlinear Analysis:Hybrid Systems,3(2009),251- 258].

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