**Editors: Changpin Li, YangQuan Chen, Jürgen Kurths**

Fractional calculus was formulated in 1695, shortly after the development of classical calculus. The earliest systematic studies were attributed to Liouville, Riemann, Leibniz, etc . For a long time, fractional calculus had been regarded as a pure mathematical realm without real applications. But, in recent decades, such a state of affairs has been changed. Now the field of ractional calculus is undergoing rapid developments with more and more convincing applications in the real world. This issue collects together thirteen papers which illustrate these applications.

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