New Advances and Applications of Fractional Oscillate System

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 964

Special Issue Editor


E-Mail Website
Guest Editor
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710129, China
Interests: fractional calculus; fractional-order oscillate systems; stochastic dynamical systems; stochastic bifurcation; smooth and discontinuous oscillator; vibro-impact system

Special Issue Information

Dear Colleagues,

This Special Issue provides a platform for showcasing the latest research findings and applications in the field of fractional oscillate systems; fostering a deeper understanding and appreciation of fractional oscillate systems and highlighting their significance and potential impact in various domains; and facilitating exchange and collaboration between academia and industry to accelerate the practical applications and technological innovations of fractional oscillate systems. The scope of this Special Issue includes (but is not limited to):

  • New theoretical analysis and modeling approaches for fractional-order oscillate systems.
  • New numerical simulation and computational methods for fractional-order oscillate systems.
  • Dynamics and stability analysis of fractional-order oscillate systems.
  • Applications of fractional-order oscillate systems in control and optimization, in signal processing, in biomedical engineering, in materials science, in engineering, in economics, and so on.

Prof. Dr. Liang Wang
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractional calculus
  • fractional-order oscillate systems
  • stochastic dynamical systems
  • vibro-impact system
  • stochastic bifurcation and chaos

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

17 pages, 521 KiB  
Article
Numerical Simulation and Parameter Estimation of the Space-Fractional Magnetohydrodynamic Flow and Heat Transfer Coupled Model
by Yi Liu, Xiaoyun Jiang and Junqing Jia
Fractal Fract. 2024, 8(10), 557; https://doi.org/10.3390/fractalfract8100557 - 26 Sep 2024
Viewed by 474
Abstract
In this paper, a coupled model is built to research the space-fractional magnetohydrodynamic (MHD) flow and heat transfer problem. The fractional coupled model is solved numerically by combining the matrix function vector products method in the temporal direction with the spectral method in [...] Read more.
In this paper, a coupled model is built to research the space-fractional magnetohydrodynamic (MHD) flow and heat transfer problem. The fractional coupled model is solved numerically by combining the matrix function vector products method in the temporal direction with the spectral method in the spatial direction. A fast method based on the numerical scheme is established to reduce the computational time. With the help of the Bayesian method, the space-fractional orders of the coupled model are estimated, and the problem of multi-parameter estimation in the coupled model is solved. Finally, a numerical example is carried out to verify the stability of the numerical methods and the effectiveness of the parameter estimation method. Results show that the numerical method is stable, which converges with an accuracy of O(τ2+Nr). The fast method is efficient in reducing the computational time, and the parameter estimation method can effectively estimate parameters in the space-fractional coupled model. The numerical solutions are discussed to describe the effects of several important parameters on the velocity and the temperature. Results indicate that the Lorentz force produced by the MHD flow blocks the movement of the fluid and prolongs the time for the fluid to reach a stable state. But the Hall parameter m weakens this hindrance. The Joule heating effects play a negative role in heat transfer. Full article
(This article belongs to the Special Issue New Advances and Applications of Fractional Oscillate System)
Show Figures

Figure 1

Back to TopTop