Multiplicity of Positive Solutions for Fractional Differential Equations in Banach Spaces
- ISSN号:2095-2651
- 期刊名称:《数学研究及应用:英文版》
- 时间:0
- 分类:O177.2[理学—数学;理学—基础数学] TP391.9[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
- 作者机构:[1]School of Mathematics, Liaoeheng University, Shandong 252059, P. R. China
- 相关基金:Supported by the Foundation for Outstanding Middle-Aged and Young Scientists of Shandong Province (Grant No. BS2010SF004), the National Natural Science Foundation of China (Grant No. 10971179), a Project of Shandong Province Higher Educational Science and Technology Program (Grant Nos. J10LA53; J11LA02) and the Natural Science Foundation of Liaocheng University (Grant No. X09008).
关键词:
Banach空间, 分数阶微分方程, 多重正解, 不动点指数理论, 全连续算子, 空间利用, 差分方程, fractional differential equations, multiple positive solutions, cone, fixed point index, measure of non-compactness, Banach space.
中文摘要:
In this paper, existence of multiple positive solutions for fractional differential equations in Banach spaces is obtained by utilizing the fixed point index theory of completely continuous operators.
英文摘要:
In this paper, existence of multiple positive solutions for fractional differential equations in Banach spaces is obtained by utilizing the fixed point index theory of completely continuous operators.