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.

引用

页数：16

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