Explicit Iterative Sequences of Positive Solutions for a Class of Fractional Differential Equations on an Infinite Interval
Received:October 17, 2018  Revised:April 11, 2019
Key Word: monotone iterative method   iterative sequences   fractional differential equations   infinite interval  
Fund ProjectL:Supported by the University Natural Science Foundation of Anhui Provincial Education Department (Grant Nos.KJ2017A442; KJ2018A0452; KJ2019A0666) and the Foundation of Suzhou University (Grant Nos.2016XJGG13; 2019XJZY02; 2019XJSN03).
Author NameAffiliation
Haiyan ZHANG School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China
School of Mathematics Sciences, Anhui University, Anhui 230601, P. R. China 
Yaohong LI School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China 
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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.
Citation:
DOI:10.3770/j.issn:2095-2651.2020.01.002
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