Electron. J. Diff. Equ., Vol. 2013 (2013), No. 07, pp. 1-7.

Nonlocal fractional semilinear differential equations in separable Banach spaces

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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