On study the existence and uniqueness of the solution of the Caputo-Fabrizio coupled system of nonlocal fractional q-integro differential equations

被引：5

作者：

Ali, Khalid K. ^{[1
]}

Raslan, K. R. ^{[1
]}

Ibrahim, Amira Abd-Elall ^{[2
]}

Mohamed, Mohamed S. ^{[3
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo, Egypt

[2] October High Inst Engn & Technol, 6th Of October, Egypt

[3] Taif Univ, Coll Sci, Dept Math, POB 1109921944, Taif, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 12期

关键词：

Caputo-Fabrizio coupled system; existence and uniqueness; nonlocal fractional q-integro differential equations; COMMUTATORS; OPERATORS;

D O I：

10.1002/mma.9246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will use the definitions of the Caputo-Fabrizio fractional derivative and the Riemann-Liouville fractional q-integral to look into the existence, uniqueness, and continuous dependence of solutions for a coupled system of fractional q-integro-differential equations. We provide an overview of the finite-trapezoidal method. Finally, we present some numerical examples to demonstrate the method's effectiveness.

引用

页码：13226 / 13242

页数：17

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