Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2017, Vol. 34 ›› Issue (1): 100-110.doi: 10.3969/j.issn.1005-3085.2017.01.010

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On Periodic Boundary Problem for $p$-Laplacian Fractional Differential Equations

ZHOU Hui1,   ZHOU Zong-fu2,   WANG Li-ping2   

  1. 1- School of Mathematics and Statistics, Hefei Normal University, Hefei 230601
    2- School of Mathematical Science, Anhui University, Hefei 230601
  • Received:2015-04-20 Accepted:2015-11-13 Online:2017-02-15 Published:2017-04-15
  • Contact: Z. Zhou. E-mail address: zhouzf12@126.com
  • Supported by:
    The Natural Science Foundation of Anhui Province (1608085MA12); the Young Foundation of Hefei Normal University (2015QN19).

Abstract:

In this paper, by using the coincidence degree theory, the existence of solutions for the $p$-Laplacian fractional differential equations with periodic boundary conditions is studied. The result obtained in this paper extends some known results.

Key words: $p$-Laplacian, coincidence degree, existence, fractional differential equation, periodic boundary value problem

CLC Number: