Nonnegative solutions of fractional functional differential equations

Nonnegative solutions of fractional functional differential equations

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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: ,
Keywords: programming: fractional, heuristics
Abstract:

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.

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