Monotone iterative solutions for nonlinear fractional differential systems with deviating arguments

Hui Jian, Bin Liu and Songfa Xie

Applied Mathematics and Computation, 2015, vol. 262, issue C, 1-14

Abstract: By means of the monotone iterative technique, we consider the nonlinear fractional differential systems with deviating arguments, introduce two well-defined monotone sequences of solutions which converge uniformly to the solutions of the systems, and then the existence result of solution for the systems is established. A numerical iterative scheme is introduced to obtain an accurate approximate solution for the systems. As an application, an example is presented to demonstrate the accuracy and efficiency of the new approach.

Keywords: Monotone iterative technique; Deviating arguments; Riemann–Liouville fractional derivative; Numerical iterative scheme (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:1-14

DOI: 10.1016/j.amc.2015.03.127

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