The main subject of the monograph is the fractional calculus in the
discrete version. The volume is divided into three main parts. Part
one contains a theoretical introduction to the classical and
fractional-order discrete calculus where the fundamental role is
played by the backward difference and sum. In the second part,
selected applications of the discrete fractional calculus in the
discrete system control theory are presented. In the discrete
system identification, analysis and synthesis, one can consider
integer or fractional models based on the fractional-order
difference equations. The third part of the book is devoted to
digital image processing.
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