干旱区生态环境知识资源中心(Arid): On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

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DOI	10.1186/s13662-020-02866-9
	On existence and stability results to a class of boundary value problems under Mittag-Leffler power law
	Ali, Gauhar; Shah, Kamal; Abdeljawad, Thabet; Khan, Hasib; Rahman, Ghaus Ur; Khan, Aziz
通讯作者	Abdeljawad, T
来源期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
出版年	2020
卷号	2020 期号:1
英文摘要	Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana-Baleanu-Caputo derivative are established. The deserted results are derived by using the Banach contraction and Krasnoselskii's fixed point theorems. Moreover, different kinds of stability theory including Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias and generalized Hyers-Ulam-Rassias stability are also developed for the problem under consideration. Appropriate examples are given for illustrative purposes.
英文关键词	Boundary conditions ABC fractional derivative Krasnoselskii fixed point theorem Stability theory 26A33 34A08 35A08
类型	Article
语种	英语
开放获取类型	DOAJ Gold
收录类别	SCI-E
WOS记录号	WOS:000561102600009
WOS类目	Mathematics, Applied ; Mathematics
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/325717
作者单位	[Ali, Gauhar; Shah, Kamal] Univ Malakand, Dept Math, Dir L 18000, Khyber Pakhtunk, Pakistan; [Abdeljawad, Thabet; Khan, Aziz] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Khan, Hasib] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal 18000, Dir U, Pakistan; [Rahman, Ghaus Ur] Univ Swat, Dept Math & Stat, Swat 18000, Pakistan
推荐引用方式 GB/T 7714	Ali, Gauhar,Shah, Kamal,Abdeljawad, Thabet,et al. On existence and stability results to a class of boundary value problems under Mittag-Leffler power law[J],2020,2020(1).
APA	Ali, Gauhar,Shah, Kamal,Abdeljawad, Thabet,Khan, Hasib,Rahman, Ghaus Ur,&Khan, Aziz.(2020).On existence and stability results to a class of boundary value problems under Mittag-Leffler power law.ADVANCES IN DIFFERENCE EQUATIONS,2020(1).
MLA	Ali, Gauhar,et al."On existence and stability results to a class of boundary value problems under Mittag-Leffler power law".ADVANCES IN DIFFERENCE EQUATIONS 2020.1(2020).