一类分数阶脉冲微分包含解的存在性(英文)  

The Existence of Solutions for Impulsive Fractional Differential Inclusions

作　　者：朱彦[1] 王良龙[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2013年第4期828-838,共11页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of China (10771001);the Anhui Provincial Natural Science Foundation (1308085MA01);the Research Fund for Doctor Station of Ministry of Education of China (20113401110001)

摘　　要：本文研究的是一类分数阶脉冲微分包含解的存在性.首先给出对应的脉冲微分方程解的正确形式,再利用非线性Leray-Schauder选择定理和PC-型Ascoli-Arzela定理证明解的存在性,并举例说明.This paper is concerned with the existence of solutions for impulsive fractional differential inclusions （IFDIs for short）. A better presentation formula of solutions for impulsive fractional differential equations is given. By the means of nonlinear alternative Leray-Schauder type and PCtype Ascoli-Arzela Theorem,the existence of solutions for IFDIs is established when the multi-valued right hand side has convex values. The compactness of the solution set is also obtained. Two examples are given to illustrate the main results.

关 键 词：分数阶微分包含 脉冲问题 初值问题 存在性 不动点定理 

分 类 号：O175.14[理学—数学]