Titlebook: Analysis and Control for Fractional-order Systems; Yonggui Kao,Changhong Wang,Yue Cao Book 2024 The Editor(s) (if applicable) and The Auth

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Mittag–Leffler Synchronization of Fractional-Order Memristor-Based Neural Networks with Leakage and eral algebraic sufficient conditions for the global Mittag–Leffler synchronization of FOMNNs. It is worth mentioning that this is the first time to deal with the Mittag–Leffler synchronization problem of FOMNNs by adaptive control method so far. Finally, two numerical examples are provided to show the efficiency of our results.

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Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-GrossbeMittag-Leffler synchronization. The sufficient conditions for synchronization and the reachability of the sliding mode surface are derived via hierarchical and the Lyapunov method. Finally, simulations are given to verify our theoretical findings.

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Book 2024he applications of fractional-order differential equations in diverse areas...The book will be attractive to researchers in various fields of mathematics, biomathematics and engineering. Graduate students in related fields may also find this book useful..

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Sushil K. Oswal,Lohitvenkatesh M. Oswals. Fractional calculus theory and methods are widely employed in fields such as physics, viscoelastic theory, control science, diffusion phenomenon, biology, neural networks, engineering and technology as well as scientific computing.

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https://doi.org/10.1007/978-3-030-90176-9he first ASMC approach utilizes three sliding mode controllers to achieve synchronization between chaotic systems, while the second ASMC method needs just one sliding mode controller to produce synchronization between chaotic systems. Finally, the effectiveness of the proposed ASMC approaches is verified using numerical simulations.

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https://doi.org/10.1007/978-3-030-78645-8n fractional-order biological systems also involves the existence of solutions, boundedness of solutions, stability of equilibrium point, bifurcation, and chaos. It is different from the integer-order ecosystem that the chaos may occur in ecosystem with orders less than 3.

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Introduction,s. Fractional calculus theory and methods are widely employed in fields such as physics, viscoelastic theory, control science, diffusion phenomenon, biology, neural networks, engineering and technology as well as scientific computing.

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