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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
Data sources: DOAJ
https://dx.doi.org/10.60692/dp...
Other literature type . 2024
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https://dx.doi.org/10.60692/bh...
Other literature type . 2024
Data sources: Datacite
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Existence theory and stability analysis of neutral $ \psi $–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses

نظرية الوجود وتحليل الاستقرار للنظام التفاضلي العشوائي الكسري المحايد $\psi $- هيلفر مع ضوضاء كسور ونبضات غير لحظية
Authors: Yanli Ma; H.S. Khalil; Akbar Zada; Ioan‐Lucian Popa;

Existence theory and stability analysis of neutral $ \psi $–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses

Abstract

<abstract><p>In this article, with the help of Laplace transform, the existence of solution was established in a finite dimensional setting for nonlinear $ \psi $-Hilfer fractional stochastic equation with both retarded and advanced arguments driven by multiplicative and fractional noises, with Hurst index $ H \in (\frac{1}{2}, 1) $. At first, we obtained the existence and uniqueness results by using the Banach fixed point theorem (FPT). Second, the existence result was also obtained by applying Schaefer's fixed point theorem with less conservative conditions. Furthermore, we investigated the Hyers Ulam Rasisas stability for the aforementioned system. At the end, an example was illustrated to validate the obtained theoretical results.</p></abstract>

Keywords

Artificial intelligence, retarded and advanced arguments, Control (management), Theory and Applications of Fractional Differential Equations, Existence Results, Mathematical analysis, Engineering, ulam's stability, Machine learning, QA1-939, FOS: Mathematics, Control theory (sociology), Stability (learning theory), neutral, Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Physics, Global Existence, Applied mathematics, Computer science, stochastic equation, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Stability, Mathematics, existence and uniqueness

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold
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