Fractional-Order Grey Models and Their Applications
This special issue belongs to the section "Mathematical Analysis".
Special Issue Information
Dear Colleagues,
Fractional calculus, fractional-order ideal, and fractional operators (the fractional-order model) have gained importance and popularity due to applications in many fields. The grey system model is a hot topic in the management system. It can depict the uncertain information of management systems. The fractional-order grey models have also been extensively studied in recent years. However, we are still at the beginning of applying this very powerful tool in management science. The integral-order grey models are ideal memory models, which are not suitable for describing irregular phenomena. The fractional-order characteristic enables the proposed model to simultaneously exhibit both short- and long-range dependence. The use of fractional order can improve and generalize well-established mathematics methods and strategies. Many different fractional-order schemes are presented for the management system. Fractional-order grey models with power-law memory have shown that memory effects can play an important role in economic phenomena and processes. The fractional-order inventory model has memory effects. The aim of this Special Issue is to investigate the fractional model extent and its applications, with particular emphasis on management system. We invite authors to submit their original research and review articles exploring the issues and extent of the fractional-order grey model.
Prof. Dr. Lifeng Wu
Guest Editor
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Keywords
- fractional-order operator and complex number order operator extent
- grey forecasting model with fractional-order operator
- fractional auto-regressive integrated moving average model
- fractional derivative model and fractional integral inequality extent
- fractional differentiation model and special function extent
- grey neural network with fractional-order operator
- fractional-order cuckoo search and other intelligent optimization algorithms
- fractional-order grey system model and fractional-order uncertain model
- fractional-order grey inventory model
- grey support vector machine with fractional-order operator
- fractional-order ideals in data envelopment analysis and other evaluated models
- potential and current applications of the fractional-order model
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Published Papers
Axioms - ISSN 2075-1680