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New Trends in Nanotechnology and Fractional Calculus Applications

  • Book
  • © 2010

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Editors:
  1. Dumitru Baleanu

    1. Fac. Engineering & Architecture, Cankaya University, Ankara, Turkey

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  2. Ziya B. Guvenc

    1. Fac. Engineering & Architecture, Cankaya University, Ankara, Turkey

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  3. J. A. Tenreiro Machado

    1. Polytechnic Institute of Porto, Institute of Engineering of the, Porto, Portugal

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  • State of the art results of interest to a wide range of scientists, especially engineers and mathematicians

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Table of contents (46 chapters)

  1. Front Matter

    Pages i-x
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  2. New trends in nanotechnology

    1. Front Matter

      Pages 1-1
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    2. Novel Molecular Diodes Developed by Chemical Conjugation of Carbon Nanotubes with Peptide Nucleic Acid

      • Krishna V. Singh, Miroslav Penchev, Xiaoye Jing, Alfredo A. Martinez–Morales, Cengiz S. Ozkan, Mihri Ozkan
      Pages 3-15

    3. Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection

      • Xu Wang, Mihri Ozkan, Gurer Budak, Ziya B. Güvenç, Cengiz S. Ozkan
      Pages 17-24

    4. Towards Integrated Nanoelectronic and Photonic Devices

      • Alexander Quandt, Maurizio Ferrari, Giancarlo C. Righini
      Pages 25-41

    5. New Noninvasive Methods for ‘Reading’ of Random Sequences and Their Applications in Nanotechnology

      • Raoul R. Nigmatullin
      Pages 43-56

    6. Quantum Confinement in Nanometric Structures

      • Magdalena L. Ciurea, Vladimir Iancu
      Pages 57-67

  3. Techniques and applications

    1. Front Matter

      Pages 70-70
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    2. Air-Fuel Ratio Control of an Internal Combustion Engine Using CRONE Control Extended to LPV Systems

      • Mathieu Moze, Jocelyn Sabatier, Alain Oustaloup
      Pages 71-86

    3. Non Integer Order Operators Implementation via Switched Capacitors Technology

      • Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna, Antonio Gallo
      Pages 87-96

    4. Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter

      • A. Parreño, P. Roncero-Sánchez, X. del Toro Garcı́a, V. Feliu, F. Castillo
      Pages 97-105

    5. Approximation of a Fractance by a Network of Four Identical RC Cells Arranged in Gamma and a Purely Capacitive Cell

      • Xavier Moreau, Firas Khemane, Rachid Malti, Pascal Serrier
      Pages 107-120

  4. Mathematical tools

    1. Front Matter

      Pages 122-122
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    2. On Deterministic Fractional Models

      • Margarita Rivero, Juan J. Trujillo, M. Pilar Velasco
      Pages 123-150

    3. A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems

      • Said Guermah, Said Djennoune, Maamar Bettayeb
      Pages 151-162

    4. Stability of Fractional-Delay Systems: A Practical Approach

      • Farshad Merrikh-Bayat
      Pages 163-170

    5. Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations

      • Farhad Farokhi, Mohammad Haeri, Mohammad Saleh Tavazoei
      Pages 171-179

    6. Fractional-Order Backward-Difference Definition Formula Analysis

      • Piotr Ostalczyk
      Pages 181-191

    7. Fractional Differential Equations on Algebroids and Fractional Algebroids

      • Oana Chiş, Ioan Despi, Dumitru Opriş
      Pages 193-201

    8. Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions

      • Kuldeep Singh Gehlot, Dinesh N. Vyas
      Pages 203-212
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Keywords

About this book

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.

Editors and Affiliations

  • Fac. Engineering & Architecture, Cankaya University, Ankara, Turkey

    Dumitru Baleanu, Ziya B. Guvenc

  • Polytechnic Institute of Porto, Institute of Engineering of the, Porto, Portugal

    J. A. Tenreiro Machado

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