EXISTENCE, UNIQUENESS AND STABILITY RESULTS FOR FRACTIONAL NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Hamoud, A. [1 ]
Osman, M. [2 ]
机构：
[1] Taiz Univ, Dept Math, Taizi 380015, Yemen
[2] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 02期
关键词：
Fractional Volterra-Fredholm integro-differential equation; Caputo sense; Generalized Ulam stability; Fixed point method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some new conditions for the existence and unique-ness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with integral boundary conditions. The desired results are proved by using Banach and Krasnoselskii's fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed. An example is presented to guarantee the validity of our results.
引用
收藏
页码：491 / 506
页数：16
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