Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678275 | Applied Mathematics Letters | 2013 | 8 Pages |
Abstract
In this paper, we study the extremal solutions of a fractional differential system involving the p-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae for the estimation of the lower and upper bounds of the extremal solutions, and establish a convergent iterative scheme for finding these solutions. We also give a special case in which the conditions for the existence of the extremal solutions can be easily verified.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Shunjie Li, Xinguang Zhang, Yonghong Wu, Lou Caccetta,