On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

被引：0
|
作者：
El-Sayed, Ahmed Mohamad [2 ]
Al-Issa, Shorouk Mahmoud [1 ]
El Miari, Maysaa Mohamad [3 ]
机构：
[1] Lebanese Int Univ, Fac Sci, Dept Math, Saida, Lebanon
[2] Alexandria Univ, Fac Sci, Dept Math, Alexandria, Egypt
[3] Int Univ Beirut, Fac Sci, Dept Math, Beirut, Lebanon
来源：
DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期
关键词：
implicit fractional-order differential equation; existence results; Green's function; boundary value problems; Ulam-Hyers stability;
D O I：
10.1515/dema-2023-0130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability. We also give examples to highlight the major findings.
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页数：16
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