Dear Colleagues,

This Special Issue is devoted to recent developments in the application of fractional calculus to time scales.

In recent years, fractional (non-integer order) calculus has been applied in many fields, such as control theory for dynamical systems, nanotechnology, viscoelasticity, anomalous transport and anomalous diffusion, financial modeling, and random walks. These recent discoveries of the applications of fractional calculus have drawn the attention of many researchers in order to gain further insight into the field, including into the existence and uniqueness of solutions, asymptotic behaviour, and analytical and numerical solutions of some linear and nonlinear fractional differential equations.

In 1988, the theory of time scales was introduced. Ever since then, much work has been done on time scales. Currently, the application of fractional calculus to time scales is a subject of strong interest. It is the purpose of this Special Issue to collate some of the recent developments on this subject.

Dr. Eze R. Nwaeze
Dr. Olaniyi S Iyiola
Guest Editors

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• dynamical systems on a time scale based on fractional calculus
• time scale operators of fractional calculus and their applications
• fractional inequalities on time scales
• fractional differential equations on time scales
• modeling with fractional derivatives on time scales