Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps-Reference-Cited by-同舟云学术

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

Published:2023 Issue:10 Volume:8 Page:25288-25310
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sayed Ahmed A. M.¹,Ahmed Hamdy M.²,Abdalla Nesreen Sirelkhtam Elmki³,Abd-Elmonem Assmaa³,Mohamed E. M.⁴

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

3. Department of Mathematics, College of Science, Abha, King Khalid University, Saudi Arabia

4. Basic Science Department, Delta Higher Institute for Engineering and Technology, Egypt

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference37 articles.

1. K. Li, R. Li, L. Cao, Y. Feng, B. Onasanya, Periodically intermittent control of Memristor-based hyper-chaotic bao-like system, Mathematics, 11 (2023), 1264. http://dx.doi.org/10.3390/math11051264

2. Y. Xue, J. Han, Z. Tu, X. Chen, Stability analysis and design of cooperative control for linear delta operator system, AIMS Mathematics, 8 (2023), 12671–12693. http://dx.doi.org/10.3934/math.2023637

3. A. Sayed Ahmed, Existence and uniqueness of mild solutions to neutral impulsive fractional stochastic delay differential equations driven by both Brownian motion and fractional Brownian motion, Differ. Equat. Appl., 14 (2022), 433–446. http://dx.doi.org/10.7153/dea-2022-14-30

4. H. Ahmed, Semilinear neutral fractional stochastic integro-differential equations with nonlocal conditions, J. Theor. Probab., 28 (2015), 667–680. http://dx.doi.org/10.1007/s10959-013-0520-1

5. A. Sayed Ahmed, Stochastic delayed fractional-order differential equations driven by fractional Brownian motion, Malaya Journal of Matematik, 10 (2022), 187–197. http://dx.doi.org/10.26637/mjm1003/001

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The averaging principle of Atangana–Baleanu fractional stochastic integro-differential systems with delay;The Journal of Analysis;2024-08-16