In this paper, the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green ’ s function in which the derivative of unknown function is involved in the nonlinear term explicitly. An example illustrating our main result is given. Our results complement the previous work in the area of the positive solutions of fractional differential equations.
机构:
College of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, JiangxiCollege of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, Jiangxi
机构:
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan,455000, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang, Henan,455000, China
Jia, Hongyan
[J].
IAENG International Journal of Applied Mathematics,
2019,
49
(02):
机构:
Shandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Shandong, Peoples R ChinaShandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Shandong, Peoples R China
Zou, Yumei
Liu, Lishan
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机构:
Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R ChinaShandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Shandong, Peoples R China
Liu, Lishan
Cui, Yujun
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机构:
Shandong Univ Sci & Technol, Dept Math, Qingdao 266590, Shandong, Peoples R ChinaShandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Shandong, Peoples R China
机构:
Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
Kwong, Man Kam
Wong, James S. W.
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机构:
Univ Hong Kong, Dept Math, Inst Math Res, Hong Kong, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China