SOLVABILITY OF AN IMPLICIT FRACTIONAL INTEGRAL EQUATION VIA A MEASURE OF NONCOMPACTNESS ARGUMENT

被引：0

作者：

Nieto, Juan J. ^{[1
,2
]}

Samet, Bessem ^{[3
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain

[2] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia

[3] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 01期

关键词：

umplicit fractional integral equation; measure of noncompactness; Darbo's theorem; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function, which generalizes the Riemann-Liouville fractional integral and the Hadamard fractional integral. We establish an existence result to such kind of equations using a generalized version of Darbo's theorem associated to a certain measure of noncompactness. Some examples are presented.

引用

页码：195 / 204

页数：10