Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative

被引：10

作者：

Asma ^{[1
]}

Shabbir, Sana ^{[1
]}

Shah, Kamal ^{[2
,3
]}

Abdeljawad, Thabet ^{[3
,4
,5
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Sahiwal Campus, Sahiwal, Punjab, Pakistan

[2] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

英国科研创新办公室;

关键词：

Atangana-Baleanu-Caputo derivative; Stability results; Fixed point theorems;

D O I：

10.1186/s13662-021-03551-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana-Baleanu-Caputo type derivative and integral. The required results are established by utilizing the Banach contraction mapping principle and fixed point theorem of Krasnoselskii. In addition, various types of stability results including Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability are formulated for the problem under consideration. Pertinent examples are given to justify the results we obtain.

引用

页数：16

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