Journal
AIMS MATHEMATICS
Volume 6, Issue 7, Pages 7229-7250Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021424
Keywords
monotone iterative technique; fractional differential equation; Hadamard type fractional derivative; infinite interval
Categories
Funding
- Foundation of Anhui Provincial Education Department [KJ2020A0735, 2020jxtd286]
- Foundation of Suzhou University [2019XJZY02, 2019XJSN03, szxy2020xxkc03]
- China Postdoctoral Science Foundation [2019M652348]
- Natural Science Foundation of Chongqing [cstc2020jcyj-msxmX0123]
- Technology Research Foundation of Chongqing Educational Committee [KJQN201900539, KJQN202000528]
- Key Laboratory Open Issue of School of Mathematical Science, Chongqing Normal University [CSSXKFKTM202003]
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This paper focuses on a class of Hadamard type fractional differential system involving Hadamard type fractional derivatives on an infinite interval. By utilizing the monotone iterative technique and Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the system are constructed.
In this paper, we focus on a class of Hadamard type fractional differential system involving Hadamard type fractional derivatives on an infinite interval. By utilizing the monotone iterative technique and Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the system are constructed.
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