On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives

被引：15
作者：
Abbas, M. I. [1 ]
Ghaderi, M. [2 ]
Rezapour, Sh. [2 ,3 ]
Thabet, S. T. M. [4 ]
机构：
[1] Alexandria Univ, Dept Math & Comp Sci, Fac Sci, Alexandria 21511, Egypt
[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[4] Univ Aden, Dept Math, Aden, Yemen
来源：
JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷
关键词：
OPERATOR;
D O I：
10.1155/2022/4779213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes.
引用
收藏
页数：10
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