Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

被引：6
|
作者：
Ali, Arshad [1 ]
Gupta, Vidushi [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
Shah, Kamal [1 ,3 ]
Jarad, Fahd [6 ]
机构：
[1] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan
[2] Chandigarh Univ, Dept Math, Chandigarh, Punjab, India
[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung, Taiwan
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
[6] Cankaya Univ, Dept Math, Ankara, Turkey
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
关键词：
ULAM-HYERS STABILITY; DIFFERENTIAL-EQUATIONS;
D O I：
10.1155/2020/7681479
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs). By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem. Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme. Finally, some applications are offered to demonstrate the concept and results. The whole analysis is carried out by using Caputo fractional derivatives (CFDs).
引用
收藏
页数：16
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