دورية أكاديمية

The analysis of fractional neutral stochastic differential equations in space

التفاصيل البيبلوغرافية
العنوان: The analysis of fractional neutral stochastic differential equations in space
المؤلفون: Wedad Albalawi, Muhammad Imran Liaqat, Fahim Ud Din, Kottakkaran Sooppy Nisar, Abdel-Haleem Abdel-Aty
المصدر: AIMS Mathematics, Vol 9, Iss 7, Pp 17386-17413 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: fractional neutral stochastic differential equations, conformable fractional derivative, averaging principle, existence and uniqueness, Mathematics, QA1-939
الوصف: After extensive examination, scholars have determined that many dynamic systems exhibit intricate connections not only with their current and past states but also with the delay function itself. As a result, their focus shifts towards fractional neutral stochastic differential equations, which find applications in diverse fields such as biology, physics, signal processing, economics, and others. The fundamental principles of existence and uniqueness of solutions to differential equations, which guarantee the presence of a solution and its uniqueness for a specified equation, are pivotal in both the mathematical and physical realms. A crucial approach for analyzing complex systems of differential equations is the utilization of the averaging principle, which simplifies problems by approximating existing ones. Applying contraction mapping principles, we present results concerning the concepts of existence and uniqueness for the solutions of fractional neutral stochastic differential equations. Additionally, we present Ulam-type stability and the averaging principle results within the framework of space. This exploration involved the utilization of Jensen's, Gröenwall-Bellman's, Hölder's, Burkholder-Davis-Gundy's inequalities, and the interval translation technique. Our findings are established within the context of the conformable fractional derivative, and we provide several examples to aid in comprehending the theoretical outcomes.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.2024845?viewType=HTML
DOI: 10.3934/math.2024845
URL الوصول: https://doaj.org/article/da68a63e49544c92b0a0f58169ec5685
رقم الأكسشن: edsdoj.68a63e49544c92b0a0f58169ec5685
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.2024845?viewType=HTML