关于无限区间上分数随机演化系统的 Cauchy 问题的新研究

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-08-01 DOI:10.1002/mma.10365
S. Sivasankar, K. Nadhaprasadh, M. Sathish Kumar, Shrideh Al‐Omari, R. Udhayakumar
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引用次数: 0

摘要

在本研究中,我们探讨了在无限区间上具有分数卡普托导数的分数随机演化系统的温和解是否存在并具有吸引力。我们使用半群理论、分数微积分、随机分析、紧凑性方法和非紧凑性度量(MNC)作为我们研究方法的基础。对于所述问题的温和解的存在,我们提出了几个充分条件。我们还提供了一些例子来突出主要发现。
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New study on Cauchy problems of fractional stochastic evolution systems on an infinite interval
In this study, we examine whether mild solutions to a fractional stochastic evolution system with a fractional Caputo derivative on an infinite interval exist and are attractive. We use semigroup theory, fractional calculus, stochastic analysis, compactness methods, and the measure of noncompactness (MNC) as the foundation for our methodologies. There are several suggested sufficient requirements for the existence of mild solutions to the stated problem. Examples that highlight the key findings are provided.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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