Research on Delay Differential Equations and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 30 September 2025 | Viewed by 487
Special Issue Editor
Interests: high accurate and fast algorithms for nonlinear evolution equations; stability and numerical simulation of delayed differential equations; efficient numerical methods for fractional differential equations
Special Issue Information
Dear Colleagues,
Delay differential equations (DDEs) are a type of differential equation where the derivative of the unknown function at a certain time depends on the values of the function at previous times. This is in contrast to ordinary differential equations (ODEs), where the derivative depends only on the current value of the function. Their applications span a wide range of disciplines, from biology and engineering to economics and physics. Despite the challenges in solving and analyzing DDEs, they provide a more accurate representation of many real-world processes compared to ODEs. This Special Issue aims to gather original contributions including, but not limited to, the following:
- Analytical/numerical methods for solving DDEs.
- Constant delay DDEs.
- Time-dependent delay DDEs.
- State-dependent delay DDEs.
- Neutral DDEs.
- Fractional DDEs.
- Stochastic DDEs.
Dr. Qifeng Zhang
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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
- numerical solution
- analytical solution
- modeling
- stability analysis
- convergence
- delay diffusion equations
- delay wave-type equations
- partial differential equations with delay
- partial functional differential equations
- fractional delay partial differential equations
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 policies can be found here.
