Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 312, Issue -, Pages 158-168Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2017.05.056
Keywords
Nonlinear term depending on lower order derivative; Hadamard derivative; Monotone iterative; Infinite interval
Categories
Funding
- National Natural Science Foundation of China [11501342]
- Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi [2014135, 2014136]
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A Hadamard type fractional integro-differential equation on infinite intervals is considered. By using monotone iterative technique, we not only get the existence of positive solutions, but also seek the positive minimal and maximal solutions and get two explicit monotone iterative sequences which converge to the extremal solutions. At last, to illustrative the main result, an example is also discussed. (C) 2017 Elsevier Inc. All rights reserved.
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