Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis

被引：8

作者：

Ganie, Abdul Hamid ^{[1
]}

Houas, Mohamed ^{[2
]}

AlBaidani, Mashael M. ^{[3
]}

Fathima, Dowlath ^{[1
]}

机构：

[1] Saudi Elect Univ, Coll Sci & Theoret Studies, Basic Sci Dept, Riyadh 11673, Saudi Arabia

[2] Khemis Miliana Univ, Lab FIMA, UDBKM, Ain Defla, Algeria

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 13期

关键词：

Caputo fractional derivative; coupled system; fixed point; existence; Ulam-Hyers stability;

D O I：

10.1002/mma.9278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, many studies on fractional coupled systems involving different sequential fractional derivatives have appeared during the past several years. The paper is dealing with a coupled system of three sequential Caputo fractional differential equations, and the designed system absorbs none of the commutativity and the semigroup properties. The Banach contraction principle is used for proving the existence and uniqueness results. We prove the existence of at least one is obtained by using the Leray-Schauder alternative. The Ulam-Hyers-Rassias stability of the considered system is defined and discussed. An illustrative example is also presented.

引用

页码：13631 / 13644

页数：14

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