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

By Lihong Zhang, Bashir Ahmad, Guotao Wang. Bulletin of the Australian Mathematical Society, 2014

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Abstract 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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

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