Electron. J. Diff. Equ., Vol. 2013 (2013), No. 25, pp. 1-13.

Fractional differential equations with fractional non-separated boundary conditions

Xiaoyou Liu, Yiliang Liu

Abstract:
We study boundary-value problems of nonlinear fractional differential equations with fractional non-separated (integral) boundary conditions. Existence and uniqueness results are obtained by using fixed point theorems and examples are given to illustrate the results.

Submitted September 28, 2012. Published January 27, 2013.
Math Subject Classifications: 34A08, 34B15, 34B10.
Key Words: Fractional differential equation; non-separated boundary condition; integral boundary condition, existence of solutions.

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Xiaoyou Liu
College of Sciences, Guangxi University for Nationalities
Nanning 530006, Guangxi Province, China.
School of Mathematical Science and Computing Technology
Central South University
Changsha 410075, Hunan Province, China
email: liuxiaoyou2002@hotmail.com
Yiliang Liu
College of Sciences, Guangxi University for Nationalities
Nanning 530006, Guangxi Province, China
email: yiliangliu100@126.com

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