Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (6): 56-64.doi: 10.16088/j.issn.1001-6600.2020.06.007

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Anti-periodic Boundary Value Problem for a Class of Fractional Differential Equations

ZUO Jiabin1,2*, YUN Yongzhen1   

  1. 1. College of Science, Hohai University, Nanjing Jiangsu 210098, China;
    2. Faculty of Applied Sciences, Jilin Engineering Normal University, Changchun Jilin 130052, China
  • Received:2019-04-24 Published:2020-11-30

Abstract: The existence of solutions for a class of anti-periodic boundary value problem of nonlinear fractional differential equations with p-Laplace operator is investigated.Firstly, the Green function of the fractional boundary value problem is given. Then, by using the properties of p-Laplace operator and some fixed point theorems,some results on the existence of solutions are obtained. Finally, two examples are given to confirm the results.

Key words: fractional differential equations, anti-periodic boundary value problem, existence of solutions, p-Laplace operator

CLC Number: 

  • O175.8
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