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

被引：0

作者：

Juan JNIETO ^{[1
,2
]}

Bessem SAMET ^{[3
]}

机构：

[1] Facultade de Matem′aticas,Universidade de Santiago de Compostela

[2] Faculty of Science,King Abdulaziz University

[3] Department of Mathematics,College of Science,King Saud University

来源：

Acta Mathematica Scientia(English Series) | 2017年 / 37卷 / 01期

关键词：

umplicit fractional integral equation; measure of noncompactness; Darbo’s theorem;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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 Hadaniard 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 nonconipactness.Some examples are presented.

引用

页码：195 / 204

页数：10

共 8 条

[1]

A generalization of Darbo’s theorem with application to the solvability of systems of integral equations[J] . A. Aghajani,R. Allahyari,M. Mursaleen. Journal of Computational and Applied Mathematics . 2014

[2]

Existence of solutions for nonlinear fractional q -difference integral equations with two fractional orders and nonlocal four-point boundary conditions[J] . Bashir Ahmad,Juan J. Nieto,Ahmed Alsaedi,Hana Al-Hutami. Journal of the Franklin Institute . 2014

[3] Measures of noncompactness in the study of solutions of nonlinear differential and integral equations [J].

Banas, Jozef .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06) :2003-2011

[4]

On quadratic integral equations in Orlicz spaces[J] . Journal of Mathematical Analysis and Applications . 2011 (1)

[5]

Applications of measures of noncompactness to the infinite system of differential equations in ? p spaces[J] . M. Mursaleen,S.A. Mohiuddine. Nonlinear Analysis . 2011 (4)

[6] Existence of solutions for a class of nonlinear Volterra singular integral equations [J].

Aghajani, Asadollah ;

Banas, Jozef ;

Jalilian, Yaghoub .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1215-1227

[7] On quadratic integral equation of fractional orders [J].

Darwish, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (01) :112-119

[8]

An application of a measure of noncompactness in the study of asymptotic stability[J] . Applied Mathematics Letters . 2002 (1)

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