This article comprehensively reviews the FPGA-based and embedded physical realization of fractional-order continuous-time chaotic systems under singular kernel fractional derivatives. However, successful implementation requires suitable numerical methods to reduce computational cost and hardware resources while the memory kernel length preserves a relatively large amount of data. From an engineering point of view, the challenge consists of getting feasible electronic implementations of fractional-order chaotic systems on FPGAs and embedded hardware. In fractional-order chaotic systems, the memory kernel improves their complexity, ergodicity, and hidden dynamical behaviors, which become an excellent option to boost applications in data encryption, IoT security, random number generators, and neural networks. The hallmark of fractional-order derivatives is a memory kernel to describe real-world phenomena with a better approximation than classical calculus.
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