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SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE
Journal article   Open access  Peer reviewed

SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE

Lihong Zhang, Bashir Ahmad and Guotao Wang
Bulletin of the Australian Mathematical Society, Vol.91(1), pp.116-128
01/02/2015
DOI: https://doi.org/10.1017/S0004972714000550

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, positive solutions of fractional differential equations with nonlinear terms depending on lower-order derivatives on a half-line are investigated. The positive extremal solutions and iterative schemes for approximating them are obtained by applying a monotone iterative method. An example is presented to illustrate the main results.
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https://doi.org/10.1017/S0004972714000550View
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