Existence results for a general class of sequential hybrid fractional differential equations

被引：15
|
作者：
Khan, Rahmat Ali [1 ,2 ]
Gul, Shaista [1 ]
Jarad, Fahd [3 ,4 ]
Khan, Hasib [2 ]
机构：
[1] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan
[2] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal Dir Upper, Khyber Pakhtunk, Pakistan
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Boundary value problems; Sequential hybrid fractional differential equations; Three point boundary conditions; Existence and uniqueness results; Stability analysis; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1186/s13662-021-03444-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.
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收藏
页数：14
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