Existence and Ulam-Hyers Stability of a Fractional-Order Coupled System in the Frame of Generalized Hilfer Derivatives

被引：12
|
作者：
Saeed, Abdulkafi M. [1 ]
Abdo, Mohammed S. [2 ]
Jeelani, Mdi Begum [3 ]
机构：
[1] Qassim Univ, Dept Math, Coll Sci, Buraydah 51452, Saudi Arabia
[2] Hodeidah Univ, Dept Math, Al Hudaydah, Yemen
[3] Imam Mohammad Ibn Saud Islamic Univ, Dept Math, Riyadh 11564, Saudi Arabia
来源：
MATHEMATICS | 2021年 / 9卷 / 20期
关键词：
& thetasym; -Hilfer fractional derivative; fractional coupled system; existence and stability of solutions; fixed point theorem; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; UNIQUENESS;
D O I：
10.3390/math9202543
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research paper, we consider a class of a coupled system of fractional integrodifferential equations in the frame of Hilfer fractional derivatives with respect to another function. The existence and uniqueness results are obtained in weighted spaces by applying Schauder's and Banach's fixed point theorems. The results reported here are more general than those found in the literature, and some special cases are presented. Furthermore, we discuss the Ulam-Hyers stability of the solution to the proposed system. Some examples are also constructed to illustrate and validate the main results.</p>
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页数：17
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