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
收藏
页码：473 / 491
页数：19
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