Electron. J. Diff. Equ., Vol. 2014 (2014), No. 261, pp. 1-9.

Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives

Taiyong Chen, Wenbin Liu

Abstract:
This article concerns the existence of solutions to periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives. Under certain linear growth condition of the nonlinearity, we obtain solutions, by using coincidence degree theory. An example illustrates our results.

Submitted May 25, 2014. Published December 17, 2014.
Math Subject Classifications: 34A08, 34B15.
Key Words: Second-order differential equation; fractional derivative; periodic boundary-value problem; coincidence degree.

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Taiyong Chen
Department of Mathematics
China University of Mining and Technology
Xuzhou 221116, China
Phone +86 516 83591530, Fax +86 516 83591591
email: taiyongchen@cumt.edu.cn
Wenbin Liu
Department of Mathematics
China University of Mining and Technology
Xuzhou 221116, China
email: wblium@163.com

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