ON THE ULAM-HYERS-RASSIAS STABILITY FOR A BOUNDARY VALUE PROBLEM OF IMPLICIT ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION

被引：0
|
作者：
Awad, Y. [1 ]
Kaddoura, I. [1 ,2 ]
机构：
[1] Lebanese Int Univ, Fac Arts & Sci, Dept Math & Phys, Beirut, Lebanon
[2] Int Univ Beirut, Fac Arts & Sci, Dept Math & Phys, Beirut, Lebanon
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2024年 / 14卷 / 01期
关键词：
Implicit fractional-orders differential equation; 0-Caputo derivative; existence results; boundary value problems; Green's function; Ulam stability; DIFFERENTIAL-EQUATIONS; RESPECT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study the existence and uniqueness of a nonlinear implicit 0-Caputo fractional order integro-differential boundary value problem using Schauder's and Banach's fixed point theorems. Besides, we study its stability using Ulam-Hyers-Rassias stability type. Finally, we demonstrate our main findings, with a particular case example included to show the significance of our results.
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页码：79 / 93
页数：15
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