Existence and stability results for a coupled system of impulsive fractional differential equations with Hadamard fractional derivatives

被引：32

作者：

Hammad, Hasanen A. ^{[1
,2
]}

Aydi, Hassen ^{[3
,4
,5
]}

Isik, Huseyin ^{[6
]}

De la Sen, Manuel ^{[7
]}

机构：

[1] Qassim Univ, Unaizah Coll Sci & Arts, Dept Math, Buraydah 52571, Saudi Arabia

[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

[6] Bandirma Onyedi Eylul Univ, Dept Engn Sci, TR-10200 Balikesir, Turkiye

[7] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Leioa 48940, Bizkaia, Spain

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 03期

关键词：

impulsive e ffect; existence solution; fixed point technique; Hadamard fractional; derivative; Hyers-Ulam stability; ULAM STABILITY; CALCULUS; INTEGRATION;

D O I：

10.3934/math.2023350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this study is to give some findings on the existence, uniqueness, and Hyers-Ulam stability of the solution of an implicit coupled system of impulsive fractional differential equations possessing a fractional derivative of the Hadamard type. The existence and uniqueness findings are obtained using a fixed point theorem of the type of Kransnoselskii. In keeping with this, many forms of Hyers-Ulam stability are examined. Ultimately, to support main results, an example is provided.

引用

页码：6913 / 6941

页数：29

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