In the nineteenth-century, fractional calculus had its origin in extending differentiation and integration operators from the integer-order case to the fractional-order case. Discrete fractional calculus has recently become an important research topic, useful in various science and engineering applications. The first definition of the fractional-order discrete-time/difference operator was introduced in 1974 by Diaz and Osler, where such operator was derived by discretizing the fractional-o...

Advances in Dynamics and Control of Fractional Discrete Time Systems: Theories and Applications delves into the cutting-edge developments in the field of fractional discrete time systems. This comprehensive resource bridges the gap between theoretical advancements and practical applications, offering readers a thorough understanding of the dynamics and control mechanisms of these systems. With a blend of rigorous mathematical theory and real-world examples, this book is an essential guide ...

This book provides an in-depth exploration of novel fractional-order memristor-based discrete chaotic maps, examining their stability and chaotic behavior, investigating their complex dynamics, and exploring their applications in synchronization control using theoretical, numerical, and analog methods. It offers valuable insights for scholars, researchers, engineers, and professionals in the fields of applied mathematics, electrical engineering, and computational science. The main topics o...