Nonlinear Fractional Maps: Dynamics and Control

Dear Colleagues,

While fractional derivatives have become a classical mainstay in many areas of research, discrete fractional maps featuring them are, by comparison, far less explored, even though their properties greatly differ from those in their integer-order counterparts. This Special Issue is devoted to broadening the horizons of research on fractional maps, with a particular focus on examining novel dynamical phenomena and developing new control schemes. Furthermore, papers featuring concrete applications of fractional maps in any area, as well as the development and analysis of new fractional maps (whether they have integer-order analogies or not), are also welcome.

The aim of this Special Issue is to invite colleagues to share their research concerning nonlinear fractional maps, including (but not limited to) the following categories:

• The development of novel fractional maps.
• The derivation of fractional maps from fractional differential equations.
• The extension of known fractional maps using a different fractional differentiation operator.
• The general dynamics of fractional maps.
• Differences in fractional and integer-order dynamics for families of similar maps.
• Transient processes in fractional maps.
• Control schemes for fractional maps.
• Stability analysis of equilibria in fractional maps.

Dr. Telksnys Tadas
Guest Editor

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