Fractional calculus, fractional-order ideal, and fractional operators (fractional-order model) have gained importance and popularly due to applications in many fields. The fractional-order model has also been extensively studied in recent years.

However, we are still at the beginning of applying this very powerful tool in management and economic science. The integral order models are ideal memory models, which are not suitable for describing irregular phenomena. The fractional-order characteristic enables the proposed model to exhibit simultaneously both short-range dependence 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 management and economic systems. Fractional-order economic 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 and economic systems. We invite authors to submit their original research and review articles exploring the issues and extent of the fractional-order model.

Potential topics include but are not limited to the following:

• Fractional-order operator and complex number order operator extent
• Fractional-order economic models and systems
• Fractional auto-regressive integrated moving average model and fractional forecasting model
• Fractional derivative model and fractional integral inequality extent
• Fractional differentiation model and special function extent
• Fractional-order neural network and support vector machine extent
• Fractional-order cuckoo search and other intelligent optimization algorithms
• Fractional-order grey system model and fractional-order uncertain model
• Fractional-order inventory model and fractional-order Fourier transform model
• Fractional-order ideals in data envelopment analysis and other evaluated models
• Potential and current applications of the fractional-order model