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In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.

Nanotechnology -- Congresses. --- Nanotechnology -- Mathematical models -- Congresses. --- Nanotechnology. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Applied Mathematics --- Fractional calculus. --- Molecular technology --- Nanoscale technology --- 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 --- Engineering. --- Computer simulation. --- System theory. --- Applied mathematics. --- Engineering mathematics. --- Mechanical engineering. --- Electrical engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Mechanical Engineering. --- Electrical Engineering. --- Systems Theory, Control. --- Simulation and Modeling. --- High technology --- Calculus --- Computer engineering. --- Systems theory. --- Mathematical and Computational Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Computers --- Engineering analysis --- Mathematical analysis --- Design and construction --- Mathematics --- Systems, Theory of --- Systems science --- Science --- Electric engineering --- Philosophy

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Engineering practice often has to deal with complex systems of multiple variable and multiple parameter models almost always with strong non-linear coupling. The conventional analytical techniques-based approaches for describing and predicting the behaviour of such systems in many cases are doomed to failure from the outset, even in the phase of the construction of a more or less appropriate mathematical model. The best paradigm exemplifying this situation may be the classic perturbation theory: the less significant the achievable correction, the more work has to be invested to obtain it. A further important component of machine intelligence is a kind of “structural uniformity” giving room and possibility to model arbitrary particular details a priori not specified and unknown. This idea is similar to the ready-to-wear industry, which introduced products, which can be slightly modified later on in contrast to tailor-made creations aiming at maximum accuracy from the beginning. These subsequent corrections can be carried out by machines automatically. This “learning ability” is a key element of machine intelligence. The past decade confirmed that the view of typical components of the present soft computing as fuzzy logic, neural computing, evolutionary computation and probabilistic reasoning are of complementary nature and that the best results can be applied by their combined application. Today, the two complementary branches of Machine Intelligence, that is, Artificial Intelligence and Computational Intelligence serve as the basis of Intelligent Engineering Systems. The huge number of scientific results published in Journal and conference proceedings worldwide substantiates this statement. The present book contains several articles taking different viewpoints in the field of intelligent systems.

Information Technology --- Computer Science (Hardware & Networks) --- Conscious automata. --- Cybernetics. --- Intelligent control systems. --- Engineering & Applied Sciences --- Computer Science --- Computational intelligence. --- Artificial intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Intelligence, Computational --- Computer science. --- Computers. --- System theory. --- Engineering. --- Industrial engineering. --- Production engineering. --- Computer Science. --- Computer Science, general. --- Engineering, general. --- Artificial Intelligence (incl. Robotics). --- Computing Methodologies. --- Industrial and Production Engineering. --- Systems Theory, Control. --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Artificial intelligence --- Soft computing --- Systems theory. --- Artificial Intelligence. --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Systems, Theory of --- Systems science --- Manufacturing engineering --- Process engineering --- Industrial engineering --- Mechanical engineering --- Philosophy

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Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science. Discusses how fractional dynamics and control can be used to solve nonlinear science and complexity issues Shows how fractional differential equations and models can be used to solve turbulence and wave equations in mechanics and gravity theories and Schrodinger’s equation  Presents factional relaxation modeling of dielectric materials and wave equations for dielectrics  Develops new methods for control and synchronization of factional dynamical systems Fractional Dynamics and Control is an ideal book for scholars, researchers and advanced technical members of industrial laboratory facilities, for developing new tools and products in the field of nonlinear dynamics and control.

Engineering. --- Nonlinear control theory. --- Nonlinear systems. --- Nonlinear control theory --- Nonlinear systems --- Fractional calculus --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Operations Research --- Applied Physics --- Fractional calculus. --- Dynamics. --- Mathematical physics. --- Physical mathematics --- Physics --- Systems, Nonlinear --- Dynamical systems --- Kinetics --- 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 --- Mathematics --- Computer mathematics. --- Statistical physics. --- Complexity, Computational. --- Vibration. --- Dynamical systems. --- Vibration, Dynamical Systems, Control. --- Complexity. --- Computational Science and Engineering. --- Nonlinear Dynamics. --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- System theory --- Calculus

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This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation. Brings new insights into the field of applied mathematical methods applied in engineering science including nonparametric regression by conic quadratic programming and fractional order filter discretization by particle swarm optimization method Demonstrates the existence of a solution for a sum fractional finite difference inclusion; Presents multiple solutions of second order differential equations.

Engineering mathematics. --- Engineering. --- Differential equations, partial. --- Engineering Mathematics. --- Complexity. --- Partial Differential Equations. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Construction --- Industrial arts --- Technology --- Mathematics --- Computational complexity. --- Partial differential equations. --- Statistical physics. --- Physics --- Mathematical statistics --- Complexity, Computational --- Electronic data processing --- Machine theory --- Statistical methods --- Differential equations, Partial.

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This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling. Presents new concepts to understand dynamical systems and develop modelling techniques Describes influence of fractional operators on modelling complex features of real-world problems Analyzes the epidemic of spreading models Introduces new hybrid methods for global and constrained optimization.

Mathematical physics. --- Computational complexity. --- Computer mathematics. --- Statistical physics. --- Partial differential equations. --- Mathematical Applications in the Physical Sciences. --- Complexity. --- Computational Science and Engineering. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Partial Differential Equations. --- Mathematics --- Math --- Science --- Partial differential equations --- Physics --- Mathematical statistics --- Computer mathematics --- Electronic data processing --- Complexity, Computational --- Machine theory --- Physical mathematics --- Statistical methods --- Computer science --- Differential equations, Partial. --- Mathematics.