Analysis of JS']JS-contractions with applications to fractional boundary value problems

被引：1
|
作者：
Mehmood, Nayyar [1 ]
Nisar, Zubair [1 ]
Mukheimer, Aiman [2 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
机构：
[1] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad, Pakistan
[2] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[4] Kyung Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul 02447, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
关键词：
& theta; -contraction; Modified [!text type='JS']JS[!/text]-contraction; Modified weak [!text type='JS']JS[!/text]-contraction; Existence results; -Ulam stability;
D O I：
10.1186/s13660-023-03005-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we modify JS-contractions by weakening the conditions on the function 0, where 0 : (0, 8) ? (1, 8) is a strictly increasing function. We prove fixed-point results for obtained contractions. Some examples are given to validate the results and modifications. We use our main theorem to establish the existence results for the solutions of the Atangana-Baleanu-Caputo fractional boundary value problem with integral boundary conditions. We also present a new definition of 0-Ulam stability and find the stability of our fractional boundary value problem.
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页数：19
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