Fractional Differentiation and Applied Mathematics: Recent Advances and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 955
Special Issue Editors
2. Centre for Environmental Mathematics, Faculty of Environment, Science and Economy, University of Exeter, Penryn TR10 9FE, Cornwall, UK
3. Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
Interests: applied mathematics; fractional calculus and applications; mathematical biology; mathematical modelling; optimal control and applications
Special Issues, Collections and Topics in MDPI journals
Interests: mathematical biology; optimal control; fractional calculus; nonlinear programming; continuous optimization
Interests: differential algebraic equations; mathematical physics; numerical analysis; mathematical modelling; fractional calculus; optimal control and applications
Special Issue Information
Dear Colleagues,
The field of fractional differentiation and applied mathematics has witnessed remarkable growth in recent years due to its wide range of theoretical developments and practical applications. From modeling complex systems in physics and engineering to solving real-world problems in finance, fractional calculus and advanced mathematical methods have become powerful tools for researchers and practitioners.
This Special Issue aims to provide a unified platform for researchers to present state-of-the-art developments in both the theoretical foundations and applied aspects of fractional differentiation, as well as related mathematical techniques. We particularly welcome high-quality contributions that advance the mathematical theory around this topic, propose novel computational methods, or demonstrate impactful applications of fractional differentiation across scientific and engineering domains.
Topics of interest include, but are not limited to, the following:
- Fractional calculus: Theory, methods, and applications;
- Differential equations and dynamical systems;
- Control theory and optimization methods;
- Stochastic and computational modeling techniques;
- Applications in the fields of physics, engineering, finance, or medicine.
Selected high-quality papers, including extended versions of works presented at The First International Conference on Mathematics and Applied Data Science (ICMADS’25), as well as independent submissions not associated with the conference, are invited to contribute to this Special Issue. Our goal is to provide a comprehensive platform for recent developments, fostering collaboration among researchers worldwide and opening new directions for future research.
Prof. Dr. Mehmet Yavuz
Prof. Dr. Fırat Evirgen
Prof. Dr. Ercan Celik
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 250 words) can be sent to the Editorial Office for assessment.
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. Axioms 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 2400 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
- applied mathematics
- mathematical modeling
- fractional calculus
- nonlinear dynamical systems
- control theory
- financial mathematics
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