WEAK SOLUTIONS FOR PARTIAL PETTIS HADAMARD FRACTIONAL INTEGRAL EQUATIONS WITH RANDOM EFFECTS

被引：2

作者：

Abbas, Said ^{[1
]}

Albarakati, Wafaa ^{[2
]}

Benchohra, Mouffak ^{[3
]}

Zhou, Yong ^{[2
,4
]}

机构：

[1] Univ Saida, Lab Math, POB 138, Saida 20000, Algeria

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[4] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2017年 / 29卷 / 04期

关键词：

Random functional integral equation; partial Pettis Hadamard fractional integral; measure of weak noncompactness; random solution; DIFFERENTIAL-EQUATIONS; BANACH-SPACES; ORDER DERIVATIVES; DARBOUX PROBLEM; EXISTENCE; INCLUSIONS; CONTROLLABILITY; THEOREM;

D O I：

10.1216/JIE-2017-29-4-473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we apply Monch and Engl's fixed point theorems associated with the technique of measure of weak noncompactness to investigate the existence of random solutions for a class of partial random integral equations via Hadamard's fractional integral, under the Pettis integrability assumption.

引用

页码：473 / 491

页数：19

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