Stability results for neutral fractional stochastic differential equations-Reference-Cited by-同舟云学术

Stability results for neutral fractional stochastic differential equations

Published:2024 Issue:2 Volume:9 Page:3253-3263
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kahouli Omar¹,Albadran Saleh²,Elleuch Zied³,Bouteraa Yassine⁴,Makhlouf Abdellatif Ben⁵

Affiliation:

1. Department of Electronics Engineering, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia

2. Department of Electrical Engineering, College of Engineering, University of Ha'il, Ha'il 2440, Saudi Arabia

3. Department of Computer Science, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia

4. Department of Computer Engineering, College of Computer Engineering and sciences, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

5. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

<abstract><p>Many techniques have been recently employed by researchers to address the challenges posed by fractional differential equations. In this paper, we investigate the concept of Ulam-Hyers stability for a class of neutral fractional stochastic differential equations by using the Banach fixed point theorem and the stochastic analysis techniques. An example is presented at the end of the paper to show the interest and the applicability of the results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference24 articles.

1. A. Akgül, A novel method for a fractional derivative with non-local and non-singular kernel, Chaos Soliton. Fract., 114 (2018), 478–482. https://doi.org/10.1016/j.chaos.2018.07.032

2. L. Chen, Y. Chai, R. Wu, T. Ma, H. Zha, Dynamic analysis of a class of fractional-order neural networks with delay, Neurocomputing, 111 (2013), 190–194. https://doi.org/10.1016/j.neucom.2012.11.034

3. T. S. Doan, P. T. Huong, P. E. Kloeden, H. T. Tuan, Asymptotic separation between solutions of Caputo fractional stochastic differential equations, Stoch. Anal. Appl., 36 (2018), 654–664. https://doi.org/10.1080/07362994.2018.1440243

4. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, North-Holland Mathematics Studies, Vol. 204, Elsevier, 2006.

5. R. C. Koeller, Applications of fractional calculus to the theory of viscoelasticity, ASME J. Appl. Mech., 51 (1984), 299–307. https://doi.org/10.1115/1.3167616

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