Volume no :6, Issue no: 2, December (2010)

Journal of Mathematical Sciences: Advances and Applications

BOUNDARY VALUE PROBLEM FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH LAPLACIAN OPERATOR

Author's: Jinhua Wang and Hongjun Xiang
Pages: [295] - [305]
Received Date: September 19, 2010
Submitted by:

Abstract

This paper deals with the existence of solution for boundary value problem of fractional differential equation with p-Laplacian operator

where is the standard Riemann-Liouville derivative, and is given function, We obtain the existence of solution by means of Schauder fixed-point theorem and an example is given to illustrate the effectiveness of our work.

Keywords

p-Laplacian, fractional differential equation, boundary value problem, existence, fixed-point theorem.