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:

Guest Editor

Associate Editor, Weigang Sun, Hangzhou Dianzi University