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
收藏
页码：13226 / 13242
页数：17
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