Banach空间中具有随机效应的耦合分数阶微分系统

IF 0.3 Q4 STATISTICS & PROBABILITY Random Operators and Stochastic Equations Pub Date : 2021-10-27 DOI:10.1515/rose-2021-2064
O. Zentar, M. Ziane, S. Khelifa
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引用次数: 0

摘要

摘要本文的目的是研究一类含有Riemann-Liouville分数阶导数的随机微分方程组解的存在性。通过对Sadovskii不动点定理原理的一个随机抽象表述,建立了存在性结果。Baliki, J. J. Nieto, a . Ouahab和M. L. Sinacer,随机半线性脉冲微分方程系统,不动点理论应用,2017,No. 27]。最后给出了一个例子来说明我们的结果。
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Coupled fractional differential systems with random effects in Banach spaces
Abstract The purpose of this work is to investigate the existence of solutions for a system of random differential equations involving the Riemann–Liouville fractional derivative. The existence result is established by means of a random abstract formulation to Sadovskii’s fixed point theorem principle [A. Baliki, J. J. Nieto, A. Ouahab and M. L. Sinacer, Random semilinear system of differential equations with impulses, Fixed Point Theory Appl. 2017 2017, Paper No. 27] combined with a technique based on vector-valued metrics and convergent to zero matrices. An example is also provided to illustrate our result.
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来源期刊
Random Operators and Stochastic Equations
Random Operators and Stochastic Equations STATISTICS & PROBABILITY-
CiteScore
0.60
自引率
25.00%
发文量
24
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