A new conversation on the existence of Hilfer fractional stochastic Volterra-Fredholm integro-differential inclusions via almost sectorial operators

被引：8

作者：

Sivasankar, Sivajiganesan ^{[1
]}

Udhayakumar, Ramalingam ^{[1
]}

Muthukumaran, Venkatesan ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2023年 / 28卷 / 02期

关键词：

Hilfer fractional system; stochastic system; integro-differential system; almost sectorial operators; multivalued maps; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-INCLUSIONS; DELAY;

D O I：

10.15388/namc.2023.28.31450

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of Hilfer fractional stochastic Volterra-Fredholm integro-differential in-clusions via almost sectorial operators is the topic of our paper. The researchers used fractional calculus, stochastic analysis theory, and Bohnenblust-Karlin's fixed point theorem for multivalued maps to support their findings. To begin with, we must establish the existence of a mild solution. In addition, to show the principle, an application is presented.

引用

页码：288 / 307

页数：20

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