Kexue Li, Jigen Peng, Jinghuai Gao
Abstract:
In this article, we study the existence of mild solutions for
fractional semilinear differential equations with nonlocal conditions
in separable Banach spaces. The result is obtained by using the Hausdorff
measure of noncompactness and the Schauder fixed point theorem.
Submitted June 26, 2012. Published January 8, 2013.
Math Subject Classifications: 26A33.
Key Words: Fractional differential equation; nonlocal conditions;
Hausdorff measure of noncompactness; mild solution.
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Kexue Li School of Mathematics and Statistics Xi'an Jiaotong University, Xi'an 710049, China email: kexueli@gmail.com | |
Jigen Peng School of Mathematics and Statistics Xi'an Jiaotong University, Xi'an 710049, China email: jgpeng@mail.xjtu.edu.cn | |
Jinghuai Gao School of Mathematics and Statistics Xi'an Jiaotong University, Xi'an 710049, China email: jhgao@mail.xjtu.edu.cn |
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