Fractional Differentiation and Applied Mathematics: Recent Advances and Applications

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

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