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This book presents some of the selected works presented during the 5th Mexican Workshop on Fractional Calculus on October 5-7, 2022, hosted by the Tecnológico de Monterrey in Nuevo León. The works correspond to those recent proposals and applications on fractional calculus carried out in Mexico or by Latin American researchers related in one way or another to this country. Unfortunately, some of the papers we discussed during these three days of complete (not fractional) immersion in the non-integer operators were disregarded from this book, not because of their quality or relevance but due to reasons out of the academic domain. It is also worth mentioning that students of all levels, practitioners, and researchers attending this workshop participated in great critical discussions in every single session, including tutorials, plenary talks, accepted talks, and-not the least relevant to science-coffee breaks.

Fractional calculus. --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus

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Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

Engineering mathematics.. --- Fractional calculus. --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Engineering mathematics.