Fractional Calculus: Theory and Applications

Dear Colleagues,

The fractional calculus (FC) generalizes the operations of differentiation and integration to non-integer orders. FC emerged as an important tool for the study of dynamical systems, since fractional order operators are non-local and capture the history of dynamics. Moreover, FC and fractional processes have become one of the most useful approaches to deal with particular properties of (long) memory effects in a myriad of applied sciences. Linear, nonlinear, and complex dynamical systems have attracted researchers from many areas of science and technology, involved in systems modelling and control, with applications to real-world problems. Despite the extraordinary advances in FC, addressing both systems’ modelling and control, new theoretical developments and applications are still needed in order to describe or control accurately many systems and signals characterized by chaos, bifurcations, criticality, symmetry, memory, scale invariance, fractality, fractionality, and other rich features. The Special Issue focuses on original and new research results on fractional calculus in science and engineering. Manuscripts addressing novel theoretical issues, as well as those on more specific applications, are welcome. Topics of interest include (but are not limited to): fractional calculus theory, methods for fractional differential and integral equations, nonlinear dynamical systems, advanced control systems, fractals and chaos, complex dynamics, evolutionary computing, finance and economy dynamics, biological systems and bioinformatics, nonlinear waves and acoustics, image and signal processing, transportation systems, geosciences, astronomy and cosmology, nuclear physics, fractional modeling in econophysics, and fractional modeling for time series.

Dr. António Lopes
Prof. Dr. Alireza Alfi
Prof. Dr. Liping Chen 
Prof. Dr. Sergio Adriani David
Topic Editors