Theoretical Analysis and Numerical Simulation for Fractional Dynamics and Fractional Calculus

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

Deadline for manuscript submissions: 15 August 2024 | Viewed by 243

Special Issue Editors

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Xidian University, Xi'an 710071, China
Interests: stochastic dynamical systems; neural networks; numerical methods; fractional-order PID control

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Xidian University, Xi'an 710071, China
Interests: fractional-order system; statistical analysis

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Xidian University, Xi'an 710071, China
Interests: fractional stochastic dynamical systems; nonlinear dynamics and control; statistical analysis

Special Issue Information

Dear Colleagues,

Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be accurately defined by using fractional operators to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials.

Fractional dynamics refers to the application of the theory of fractional calculus to investigate the dynamical properties of some dynamical systems. These systems often appear in fields such as physics, signal processes, biology, control, and structural engineering, and they generally contain non-integer-order differentiation or integration operations, in order to describe the long-time memory of the systems.

The focus of this Special Issue is on advanced research in theoretical analysis on topics relating to the development of fractional calculus theory; fractional-order operator design; and the analysis of dynamical properties including the stabilization, response, reliability, and control of fractional-order systems. The topics of the newest established technique range from numerical simulation to fractional dynamics. Topics that are invited for submission include (but are not limited to):

  • Fractional-order calculus theory;
  • Fractional-order oscillator designs and realizations;
  • Fractional-order control systems and implementation;
  • Digital and numerical approximations for solutions of fractional-order systems;
  • Stabilization of the fractional dynamical system;
  • Response of the fractional dynamical system;
  • Applications of fractional-order dynamical systems.
Dr. Wei Li
Dr. Guidong Yang
Dr. Dongmei Huang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at 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.


  • fractional calculus
  • fractional integration
  • fractional derivative
  • dynamical systems
  • stabilization
  • system response
  • fractional-order system control.

Published Papers

This special issue is now open for submission.
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