Evidence map›Paper›PMID 38802447›Full record

ArticleScientific reports2024

Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method.

Mengqi Xie, Sami Ullah Khan, Wojciech Sumelka, Atif M Alamri, Salman A AlQahtani

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Mengqi XieDepartment of Electronic Information Engineering, Xi'an Technological University, Xi'an, 710021, China.
Sami Ullah KhanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, KP, 2500, Pakistan. samiullah.khan@cusit.edu.pk.
Wojciech SumelkaInstitute of Structural Analysis, Poznan University of Technology, Piotrowo 5 Street, 60-965, Poznan, Poland.
Atif M AlamriSoftware Engineering Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia.
Salman A AlQahtaniComputer Engineering Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In recent years, there has been a growing interest in incorporating fractional calculus into stochastic delay systems due to its ability to model complex phenomena with uncertainties and memory effects. The fractional stochastic delay differential equations are conventional in modeling such complex dynamical systems around various applied fields. The present study addresses a novel spectral approach to demonstrate the stability behavior and numerical solution of the systems characterized by stochasticity along with fractional derivatives and time delay. By bridging the gap between fractional calculus, stochastic processes, and spectral analysis, this work contributes to the field of fractional dynamics and enriches the toolbox of analytical tools available for investigating the stability of systems with delays and uncertainties. To illustrate the practical implications and validate the theoretical findings of our approach, some numerical simulations are presented.

Indexed as

Fractional calculusFractional delay stochastic differential equationsSpectral methodStability analysisStochasticityTime delays

Identifiers

PMID38802447
PMCPMC11130344

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.