Emerging Applications of Fractional Calculus
This Special Topic collection aims to delve into the innovative and diverse applications of fractional calculus across a wide array of fields in science, engineering, and technology. Fractional calculus is a fascinating branch of mathematics that generalizes traditional calculus by permitting non-integer order derivatives and integrals. This extension of calculus has garnered significant attention in recent years due to its unique ability to effectively model complex phenomena that exhibit memory, hereditary properties, and long-range dependence. In contrast to classical calculus, which operates on integer-order derivatives and integrals, fractional calculus enables more nuanced modeling of memory-dependent systems, where historical states continuously shape future dynamics. This capability makes it particularly valuable in fields such as physics, engineering, biology, finance, and environmental science, where systems often display intricate dynamics that cannot be adequately captured by conventional methods.
Topics covered include, but are not limited to:
- Fractional-order chaos-based cryptography
- Fractional-order models for artificial intelligence
- Fractional-order neural networks
- Fractional-order controls
- Circuit design and simulation
- Image and signal processing
- Systems identification
Guest Editor
Associate Editor, Weigang Sun, Hangzhou Dianzi University
About the Journal
Applied Physics Reviews (APR) features articles on important and current topics in experimental or theoretical research in applied physics or applications of physics to other branches of science and engineering. APR publishes the following types of articles:
- Original Research: An article reporting on an important and novel research study of high quality and general interest to the applied physics community.
- Reviews: This type of article can either be an authoritative, comprehensive review of established areas of applied physics, or a short timely review of recent advances in established fields or new and emerging areas of applied physics.