Stochastic and Fractional Differential Equations: Attractor, Invariant Measure and Their Relationship
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 20 June 2024 | Viewed by 2232
Special Issue Editors
Interests: random dynamical system; stochastic differential equations; attractor; invariant measure
Special Issue Information
Dear Colleagues,
Mathematical models that study the evolution of many natural phenomena such as astroscience, fluid mechanics, plasma physics, and weather change are often nonlinear evolution equations and resulting infinite dimensional dynamic systems. However, in real life, the development of something is sometimes influenced by accidental random factors. Many studies have shown that due to the interaction between noise and nonlinearity, the system structure may be completely destroyed, making the system change from ordered to disordered, or vice versa. Therefore, it is necessary to study infinite dimensional random dynamic systems. The study of infinite dimensional random dynamical systems requires the combination of knowledge of dynamical systems, partial differential equations, fractional differential equations, functional analysis, stochastic analysis, and the complexity of their own problems. Currently, this is still in the initial and innovative stage.
The focus of this Special Issue is to continue to advance research on topics relating to the theory and application of infinite dimensional random dynamical systems. Topics that are invited for submission include (but are not limited to):
- Random attractors of stochastic and fractional differential equations;
- Invariant measures of stochastic and fractional differential equations;
- The relationship between random attractors and invariant measures;
- Stability of stochastic complex systems.
Prof. Dr. Dingshi Li
Dr. Chunmei Zhang
Guest Editors
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
- random dynamical system
- stochastic differential equation
- fractional differential equation
- random attractor
- invariant measures
- random fractional
