Fractional Maps and Discrete Fractional Dynamical Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 31 March 2027 | Viewed by 141
Special Issue Editors
2. Courant Institute at NYU, 251 Mercer St., New York, NY 10012, USA
Interests: fractional calculus and its applications
Special Issue Information
Dear Colleagues,
Discrete fractional calculus began when the definitions of fractional sums and differences were introduced by Gray and Zhang (1988) and Miller and Ross (1989). Fractional maps were introduced by Tarasov and Zaslavsky (2008), and fractional difference maps as solutions of fractional difference equations were proposed by Chen, Luo, and Zhou (2011). These maps and solutions of fractional difference equations are maps with memory and can be expressed as convolutions with power-law-like kernels. These maps have been applied to investigate models in natural and socio-economic sciences, as well as in control and engineering applications. Solutions of discrete fractional equations are complex, which is why fractional difference maps have been applied in encryption and signal processing. However, the general properties of fractional maps (convolutions with power-law-like kernels) remain poorly investigated.
This Special Issue is dedicated to the further development of the general theory of maps with power-law-like memory and their applications. Papers on all aspects of the theory and applications of maps with power-law-like memory are welcome.
Prof. Dr. Mark Edelman
Prof. Dr. Sachin Bhalekar
Guest Editors
Manuscript Submission Information
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Keywords
- fractional difference
- fractional maps
- maps with memory
- power law
- bifurcations
- stability
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