An existence and uniqueness theorem for a fractional boundary value problem via new fixed point results on quasi metric spaces

被引：1
|
作者：
Altun, Ishak [1 ,2 ]
Olgun, Murat [3 ]
机构：
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 91卷 / 91期
关键词：
Fixedpoint; Quasimetricspace; Simulationfunction; Fractionalderivative; Positivesolution;
D O I：
10.1016/j.cnsns.2020.105462
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present two fixed point results on quasi metric spaces by taking into account a contractive condition that obtained via simulation and Q-functions. Then one of these fixed point results has been applied to guarantee the existence and uniqueness of positive solution of a kind of fractional boundary value problem with Riemann-Liouville fractional derivative. (C) 2020 Elsevier B.V. All rights reserved.
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页数：9
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