Electron. J. Diff. Equ., Vol. 2014 (2014), No. 60, pp. 1-12.

Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance

Lingling Cheng, Wenbin Liu, Qingqing Ye

Abstract:
In this article, we discuss the existence of solutions to boundary-value problems for a coupled system of fractional differential equations with p-Laplacian operator at resonance. We prove the existence of solutions when $\dim \ker L\geq 2$, using the coincidence degree theory by Mawhin.

Submitted March 10, 2013. Published February 28, 2014.
Math Subject Classifications: 34A08, 34B15.
Key Words: Fractional differential equation; boundary value problem; coincidence degree; $p$-Laplacian operator.

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Lingling Cheng
College of Sciences
China University of Mining and Technology
Xuzhou, Jiangsu, 221116, China
email: chenglingling2006@163.com
Wenbin Liu
College of Sciences
China University of Mining and Technology
Xuzhou, Jiangsu, 221116, China
email: wblium@163.com
Qingqing Ye
School of Science
Nanjing University of Science and Technology
Nanjing, Jiangsu, 210094, China
email: yeqingzero@gmail.com

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