Research articles
ScienceAsia 44 (2018): 118-124 |doi:
10.2306/scienceasia1513-1874.2018.44.118
The unique positive solution for fractional integro-differential equations on infinite intervals
Chengbo˙Zhai*, Lifang˙Wei
ABSTRACT: By means of some properties of normal cones and a recent fixed point theorem for monotone operators, we establish the existence and uniqueness of positive solutions for fractional integro-differential equations on infinite intervals. Our results complement the previous results of positive solutions for fractional integro-differential equations. Furthermore, we can make an iterative scheme to approximate the unique positive solution. An example is given to demonstrate our main result.
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| School˙of˙Mathematical˙Sciences, Shanxi˙University, Taiyuan˙030006, Shanxi, China |
* Corresponding author, E-mail: cbzhai@sxu.edu.cn
Received 17 Dec 2017, Accepted 4 Mar 2018
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