Fractional differential equations have become a fundamental modelling approach for understanding and simulating the many aspects of non-locality spatial heterogeneity complex materials systems. Yet, while real-order fractional operators are nowadays widely adopted, little progress has been made in extending such to complex-order counterparts. In this work, we introduce new definitions Laplacian...

This paper proposes FPGA realization of an IP core for generic fractional-order derivative based on Grünwald-Letnikov approximation. design is applied to achieve reconfigurable chaotic systems. The real-time configuration boosts the suitability this particular different applications, including dynamic switching, synchronization, and encryption. proposed targets optimized utilization internal re...