Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps

被引：5

作者：

Ahmed, A. M. Sayed ^{[1
]}

Ahmed, Hamdy M. ^{[2
]}

Abdalla, Nesreen Sirelkhtam Elmki ^{[3
]}

Abd-Elmonem, Assmaa ^{[3
]}

Mohamed, E. M. ^{[4
]}

机构：

[1] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria, Egypt

[2] Higher Inst Engn, El Shorouk Acad, Dept Phys & Engn Math, Cairo, Egypt

[3] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia

[4] Delta Higher Inst Engn & Technol, Basic Sci Dept, Mansoura, Egypt

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

fractional calculus; stochastic differential inclusions; control theory; Poisson jumps; NULL CONTROLLABILITY; EQUATIONS; SYSTEMS;

D O I：

10.3934/math.20231290

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore the approximative controllability of fractional stochastic differential inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) sense and Poisson jumps. Our findings are supported by the fixed point theorem, multi-valued map theory, compact semigroup theory and stochastic analysis principles. In the later part, an illustration is provided to clarify the established outcomes.

引用

页码：25288 / 25310

页数：23

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