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. …mehr
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.
New trends in nanotechnology.- Novel Molecular Diodes Developed by Chemical Conjugation of Carbon Nanotubes with Peptide Nucleic Acid.- Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection.- Towards Integrated Nanoelectronic and Photonic Devices.- New Noninvasive Methods for 'Reading' of Random Sequences and Their Applications in Nanotechnology.- Quantum Confinement in Nanometric Structures.- Techniques and applications.- Air-Fuel Ratio Control of an Internal Combustion Engine Using CRONE Control Extended to LPV Systems.- Non Integer Order Operators Implementation via Switched Capacitors Technology.- Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter.- Approximation of a Fractance by a Network of Four Identical RC Cells Arranged in Gamma and a Purely Capacitive Cell.- Mathematical tools.- On Deterministic Fractional Models.- A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems.- Stability of Fractional-Delay Systems: A Practical Approach.- Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations.- Fractional-Order Backward-Difference Definition Formula Analysis.- Fractional Differential Equations on Algebroids and Fractional Algebroids.- Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions.- Some Bounds on Maximum Number of Frequencies Existing in Oscillations Produced by Linear Fractional Order Systems.- Fractional Derivatives with Fuzzy Exponent.- Game Problems for Fractional-Order Systems.- Synchronization Analysis of Two Networks.- Fractional modelling.- Modeling Ultracapacitors as Fractional-Order Systems.- IPMC Actuators Non Integer Order Models.- On the Implementation of a LimitedFrequency Band Integrator and Application to Energetic Material Ignition Prediction.- Fractional Order Model of Beam Heating Process and Its Experimental Verification.- Analytical Design Method for Fractional Order Controller Using Fractional Reference Model.- On Observability of Nonlinear Discrete-Time Fractional-Order Control Systems.- Chaotic Fractional Order Delayed Cellular Neural Network.- Fractional Wavelet Transform for the Quantitative Spectral Analysis of Two-Component System.- Fractional Wavelet Transform and Chemometric Calibrations for the Simultaneous Determination of Amlodipine and Valsartan in Their Complex Mixture.- Fractional control systems.- Analytical Impulse Response of Third Generation CRONE Control.- Stability Analysis of Fractional Order Universal Adaptive Stabilization.- Position and Velocity Control of a Servo by Using GPC of Arbitrary Real Order.- Decentralized CRONE Control of mxn Multivariable System with Time-Delay.- Fractional Order Adaptive Control for Cogging Effect Compensation.- Generalized Predictive Control of Arbitrary Real Order.- Frequency Response Based CACSD for Fractional Order Systems.- Resonance and Stability Conditions for Fractional Transfer Functions of the Second Kind.- Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller.- On Fractional Control Strategy for Four-Wheel-Steering Vehicle.- Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems.- A Fractional Order Adaptation Law for Integer Order Sliding Mode Control of a 2DOF Robot.- Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller.- Nyquist Envelope of Fractional Order Transfer Functions with Parametric Uncertainty.- Synchronization of Gyro Systems via Fractional-Order Adaptive Controller.- Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems.- Control of Chaos via Fractional-Order State Feedback Controller.
New trends in nanotechnology.- Novel Molecular Diodes Developed by Chemical Conjugation of Carbon Nanotubes with Peptide Nucleic Acid.- Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection.- Towards Integrated Nanoelectronic and Photonic Devices.- New Noninvasive Methods for 'Reading' of Random Sequences and Their Applications in Nanotechnology.- Quantum Confinement in Nanometric Structures.- Techniques and applications.- Air-Fuel Ratio Control of an Internal Combustion Engine Using CRONE Control Extended to LPV Systems.- Non Integer Order Operators Implementation via Switched Capacitors Technology.- Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter.- Approximation of a Fractance by a Network of Four Identical RC Cells Arranged in Gamma and a Purely Capacitive Cell.- Mathematical tools.- On Deterministic Fractional Models.- A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems.- Stability of Fractional-Delay Systems: A Practical Approach.- Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations.- Fractional-Order Backward-Difference Definition Formula Analysis.- Fractional Differential Equations on Algebroids and Fractional Algebroids.- Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions.- Some Bounds on Maximum Number of Frequencies Existing in Oscillations Produced by Linear Fractional Order Systems.- Fractional Derivatives with Fuzzy Exponent.- Game Problems for Fractional-Order Systems.- Synchronization Analysis of Two Networks.- Fractional modelling.- Modeling Ultracapacitors as Fractional-Order Systems.- IPMC Actuators Non Integer Order Models.- On the Implementation of a LimitedFrequency Band Integrator and Application to Energetic Material Ignition Prediction.- Fractional Order Model of Beam Heating Process and Its Experimental Verification.- Analytical Design Method for Fractional Order Controller Using Fractional Reference Model.- On Observability of Nonlinear Discrete-Time Fractional-Order Control Systems.- Chaotic Fractional Order Delayed Cellular Neural Network.- Fractional Wavelet Transform for the Quantitative Spectral Analysis of Two-Component System.- Fractional Wavelet Transform and Chemometric Calibrations for the Simultaneous Determination of Amlodipine and Valsartan in Their Complex Mixture.- Fractional control systems.- Analytical Impulse Response of Third Generation CRONE Control.- Stability Analysis of Fractional Order Universal Adaptive Stabilization.- Position and Velocity Control of a Servo by Using GPC of Arbitrary Real Order.- Decentralized CRONE Control of mxn Multivariable System with Time-Delay.- Fractional Order Adaptive Control for Cogging Effect Compensation.- Generalized Predictive Control of Arbitrary Real Order.- Frequency Response Based CACSD for Fractional Order Systems.- Resonance and Stability Conditions for Fractional Transfer Functions of the Second Kind.- Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller.- On Fractional Control Strategy for Four-Wheel-Steering Vehicle.- Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems.- A Fractional Order Adaptation Law for Integer Order Sliding Mode Control of a 2DOF Robot.- Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller.- Nyquist Envelope of Fractional Order Transfer Functions with Parametric Uncertainty.- Synchronization of Gyro Systems via Fractional-Order Adaptive Controller.- Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems.- Control of Chaos via Fractional-Order State Feedback Controller.
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