Solvability of functional stochastic integral equations via Darbo's fixed point theorem

被引：13

作者：

Deep, Amar ^{[1
]}

Abbas, Syed ^{[2
]}

Singh, Bhupander ^{[3
]}

Alharthi, M. R. ^{[4
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

机构：

[1] PDPM Indian Inst Informat Technol Design & Mfg, Math Discipline, Jabalpur 482005, MP, India

[2] Indian Inst Technol, Sch Basic Sci, Mandi 175005, HP, India

[3] Meerut Univ, Dept Math, Meerut 250001, UP, India

[4] Taif Univ, Dept Math & Stat, Coll Sci, POB 11099, At Taif 21944, Saudi Arabia

[5] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2021年 / 60卷 / 06期

关键词：

Functional integral equation; Banach algebra; Fixed point theorem; Measure of non-compactness; NUMERICAL-SOLUTION; EXISTENCE;

D O I：

10.1016/j.aej.2021.04.024

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Using the techniques of Darbo's fixed-point theorem associated with measures of non compactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.

引用

页码：5631 / 5636

页数：6

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