Article ID: | iaor20121960 |
Volume: | 63 |
Issue: | 5 |
Start Page Number: | 896 |
End Page Number: | 904 |
Publication Date: | Mar 2012 |
Journal: | Computers and Mathematics with Applications |
Authors: | Jiang Yao-Lin, Ding Xiao-Li |
Keywords: | programming: fractional, heuristics |
In this paper, we discuss the existence and monotone iterative method of nonnegative solutions for fractional functional differential equations. The main conclusion is that the nonnegative solutions can be derived from the monotone iterative method, which starts off with a nonnegative upper solution or the zero function under different conditions. Our approach of obtaining nonnegative solutions is feasible for computational purposes.