Stability analysis of an implicit fractional integro-differential equation via integral boundary conditions

被引：5
|
作者：
Alam, Mehboob [1 ]
Zada, Akbar [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ,6 ]
机构：
[1] GIK Inst, Fac Engn Sci, Topi 23640, KP, Pakistan
[2] Univ Peshawar, Dept Math, Peshawar, KP, Pakistan
[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Kyung Hee Univ, Dept Math, 26 Kyungheedae ro, Seoul 02447, South Korea
[6] Sefako Makgatho Hlth Sci Univ, Sch Sci & Technol, Dept Math & Appl Math, Ga Rankuwa, South Africa
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 87卷
关键词：
Caputo derivative; Integral conditions; Existence and uniqueness; Stability;
D O I：
10.1016/j.aej.2023.12.055
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms. The stability analysis of a fractional integro-differential equation is presented using Ulam's concept. Furthermore, this research study establishes the correlation between the stated problem and the Volterra integral equation. The investigation proceeds by utilizing the renowned Banach and Krasnoselskii's fixed point theorems to explore the existence and uniqueness of solutions for the problem. Additionally, to provide tangible evidence of the abstract findings, two illustrative examples are presented.
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页码：501 / 514
页数：14
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