Recent Advances in Fractional Differential Equations and Their Applications, 2nd Edition
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: closed (31 May 2024) | Viewed by 4376
Special Issue Editors
Interests: fractional partial differential equation; machine learning; stochastic dynamical systems
Special Issues, Collections and Topics in MDPI journals
Interests: numerical solutions to PDE and ODE; fractional partial differential equation
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional differential equations describe the dynamic systems of complex and non-local systems with memory. They can be developed from stochastic dynamical systems driven by non-Gaussian Levy noise, which have long tails and bursting sample routes. They feature in a wide variety of scientific and engineering sectors, including physics, biology, economics, and chemical engineering. Due to memory and nonlocality issues, finding analytical solutions can be challenging, and identifying effective strategies for numerically solving fractional differential equations is a pressing issue.
Potential topics for this Special Issue include (but are not limited to):
- New numerical methods for time fractional differential equations;
- New numerical methods for space fractional (nonlocal) differential equations;
- The relationship between stochastic differential equations and nonlocal differential equations;
- Regularity estimate and homogenization for nonlocal differential equations;
- Application of stochastic dynamics and fractional models;
- Machine learning methods for FDEs
- Inverse problems in non-local PDE / SDE
- Effective dynamics and reduced order models
The first volume of this Special Issue was a great success. The published articles can be read at: https://www.mdpi.com/journal/fractalfract/special_issues/222BH46HIW
Dr. Xiaoli Chen
Prof. Dr. Dongfang Li
Dr. Ting Gao
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
- nonlocal differential equation
- fractional differential equation
- stochastic differential equation
- numerical method
- machine learning methods