Explicit Iterative Sequences of Positive Solutions for A Class of Fractional Differential Equations on An Infinite Interval
Received:October 17, 2018  Revised:December 18, 2018
Key Word: monotone iterative method   iterative sequences   fractional differential equations   infinite interval  
Fund ProjectL:University Natural Science Foundation of Anhui
Author NameAffiliationE-mail
ZHANG Haiyan School of Mathematics and Statistics, Suzhou University liz.zhang@yeah.net 
LI Yaohong School of Mathematics and Statistics, Suzhou University  
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Abstract:
      By applying the monotone iterative method, this study develops two explicit monotone iterative sequences for approximating the minimal and maximal positive solutions. At the same time, by applying the Banach fixed-point theory, an explicit iterative sequence and error estimate for approximating the unique positive solution is obtained. Some examples are given to illustrate the application of the results.
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