An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator

作者：Chen, Taiyong^*; Liu, Wenbin

来源：Applied Mathematics Letters, 2012, 25(11): 1671-1675.

DOI：10.1016/j.aml.2012.01.035

• Fractional differential equation
• p-Laplacian operator
• Anti-periodic boundary value conditions
• Existence
• Schaefer's fixed point theorem

This paper studies the existence of solutions for an anti-periodic boundary value problem for the fractional p-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, a new existence result is obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our result is given.

• 出版日期2012-11
• 单位中国矿业大学（北京）