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

Part of: Boundary value problems General theory in ordinary differential equations

Published online by Cambridge University Press:  27 August 2014

LIHONG ZHANG ,
BASHIR AHMAD  and
GUOTAO WANG
LIHONG ZHANG*
Affiliation:
School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China email [email protected]
BASHIR AHMAD
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia email [email protected]
GUOTAO WANG
Affiliation:
School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China email [email protected]
*
✉[email protected]
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Abstract

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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.

Keywords

monotone iterative methodfractional differential equationpositive extremal solutionshalf-line

MSC classification

Primary: 34A08: Fractional differential equations
Secondary: 34B10: Nonlocal and multipoint boundary value problems 34B18: Positive solutions of nonlinear boundary value problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 116 - 128
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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