New Trends in Nanotechnology and Fractional Calculus Applications

ISBN-13: 9789400790995 / Angielski / Miękka / 2014 / 531 str.

Dumitru Baleanu; Ziya B. Guvenc; J. a. Tenreiro Machado

Opis

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.

Spis treści

Preface; New trends in nanotechnology: Novel Molecular Diodes Developed by Chemial Conjugation of Carbon Nanotubes with Peptide Nucleic Acid, by Krishna V. Singh, Miroslav Penchev, Xiaoye Jing, Alfredo A. Martinez-Morales, Cengiz S. Ozkan and Mihri Ozkan; Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection, by Xu Wang, Mihri Ozkan, Gurer Budak, Ziya B. Guvenc and Cengiz S. Ozkan; Towards integrated nanoelectronic and photonic devices, by Alexander Quandt, Maurizio Ferrari and Giancarlo C. Righini; New noninvasive methods for ‘reading’ of random sequences and their applications in nanothechnology, by Raoul R. Nigmatullin; Quantum confinement in nanometric structures, by Magdalena L. Ciurea and Vladimir Iancu; Techniques and applications: Air-fuel ratio control of an internal combustion engine using CRONE control extended to LPV systems, by Mathieu Moze, Jocelyn Sabatier and Alain Oustaloup; Non integer order operators implementation via switched capacitors technology, by Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna and Antonio Gallo; Analysis of the fractional dynamics of an ultracapacitor and its application to a Buck-Boost converter, by A. Parreno, P. Roncero-Sanchez, X. del Toro Garcia, Vicente Feliu and F. Castillo; Approximation of a fractance by a network of four identical RC cells arranged in gamma and a purely capacitive cell, by Xavier Moreau, Firas Khemane, Rachid Malti and Pascal Serrier; Mathematical tools: On deterministic fractional models, by Margarita Rivero, Juan J. Trujillo and M. Pilar Velasco; A new approach for stability analysis of linear discrete-time fractional-order systems, by Said Guermah, Said Djennoune and Maamar Bettayeb; Stability of fractional-delay systems: an efficient approach, by Farshad Merrikh-Bayat; Comparing numerical methods for solving nonlinear fractional order differential equations, by Farhad Farokhi, Mohammad Haeri and Mohammad S.Tavazoei; Fractional-order backward-difference definition formula analysis, by Piotr Ostalczyk; Fractional differential equations on algebroids and fractional algebroids, by Oana Chis, Ioan Despi and Dumitru Opris; Generalized Hankel transform and fractional integrals on the spaces of generalized functions, by Kuldeep Singh Gehlot and Dinesh N. Vyas; Some bounds on maximum number of frequencies existing in oscillations produced by linear fractional order systems, by Sadegh Bolouki, Mohammad Haeri, Mohammad Saleh Tavazoei and Milad Siami; Fractional derivatives with fuzzy exponent, by Witold Kosinski; Game problems for fractional-order systems, by Arkadii Chikrii and Ivan Matychyn; Synchronization analysis of two networks, by Changpin Li and Weigang Sun; Fractional modelling: Modelling ultracapacitors as fractional-order systems, by Yang Wang, Tom T. Hartley, Carl F. Lorenzo, Jay L. Adams, Joan E. Carletta and Robert J. Veillette; IPMC actuators non integer order models, by Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna, Antonio Gallo and Salvatore Graziani; On the implementation of a limited frequency band integrator and application to energetic material ignition prediction, by Jocelyn Sabatier, Mathieu Merveillaut, Alain Oustaloup, Cyril Gruau and Hervé Trumel; Fractional order model of beam heating process and its experimental verification, by Andrzej Dzielinski and Dominik Sierociuk; Analytical design method for fractional order controller using fractional reference model, by Badreddine Boudjehem, Djalil Boudjehem and Hicham Tebbikh; On observability of nonlinear discrete-time fractional-order control systems, by Dorota Mozyrska and Zbigniew Bartosiewicz; Chaotic fractional order delayed cellular neural network, by Vedat Çelik and Yakup Demir; Fractional wavelet transform for the quantitative spectral analysis of two component system, by Murat Kanbur, Ibrahim Narin, Esra Özdemir, Erdal Dinç and Dumitru