The advantages of fractional calculus and fractional order models (i.e., differential systems involving fractional order integrodifferential operators) and their applications have already been intensively studied during the last few decades with excellent results.

The long-range temporal or spatial dependence phenomena inherent to the fractional order systems present unique peculiarities not supported by their integer order counterpart, which permit better models of the dynamics of complex processes. Therefore, in many cases, these properties make fractional order system more adequate than usually adopted integer order one. Although noninteger differentiation has become a more and more popular tool for modeling and controlling the behaviors of physical systems from diverse applied branches of the science and engineering such as mechanics, electricity, chemistry, biology, and economics, many problems remain to be explored and solved.

This special issue aims at bringing together the latest advances in theory and applications of fractional order systems.

Potential topics include, but are not limited to:

• Anomalous diffusion
• Applications of fractional systems
• Biomedical engineering
• Computational fractional derivative equations
• Fractional operators and models
• Modeling control and identification
• Nonlocal phenomena
• Numerical algorithms and computational aspects
• Signal and imaging processing
• Special functions and integral transforms related to fractional calculus