UNIQITE SOLVABILITY OF TRACTIONAL QUADRATIC NONLINEAR INTEGRAL EQUATIONS

被引:3
|
作者
Darwish, Mohamed Abdalla [1 ]
Metwali, Mohamed M. A. [1 ]
O'Regan, Donal [2 ]
机构
[1] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt
[2] Natl Univ Ireland, Sch Math, Galway, Ireland
来源
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2021年 / 13卷 / 01期
关键词
Quadratic integral equation; fractional calculus; superposition operator; Dabo fixed point theorem; INEQUALITIES; STABILITY;
D O I
10.7153/dea-2021-13-01
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the existence of monotonic solutions of fractional nonlinear quadratic integral equations in the space of Lebesgue integrable functions on [0, tau]. The uniqueness of the solution is also discussed. In addition an example is given to illustrate our abstract results.
引用
收藏
页码:1 / 13
页数:13
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