Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions

被引：0
作者：
Arshad Ali
Kamal Shah
Thabet Abdeljawad
Ibrahim Mahariq
Mostafa Rashdan
机构：
[1] University of Malakand Chakdara,Department of Mathematics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
[5] American University of the Middle East,College of Engineering and Technology
来源：
Boundary Value Problems | / 2021卷
关键词：
Impulsive conditions; Proportional delay term; Stability; FODEs; 26A33; 34A08; 35R11;
D O I：
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摘要：
The current study is devoted to deriving some results about existence and stability analysis for a nonlinear problem of implicit fractional differential equations (FODEs) with impulsive and integral boundary conditions. The concerned problem involves proportional type delay term. By using Schaefer’s fixed point theorem and Banach’s contraction principle, the required conditions are developed. Also, different kinds of Ulam stability results are derived by using nonlinear analysis. Providing a pertinent example, we demonstrate our main results.
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