| 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 Words:
monotone iterative method iterative sequences fractional differential equations infinite interval
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| Fund Project: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). |
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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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