Special Issue: Fractional Dynamics and Its Applications

Articles (20 in this collection)

1. Fractional dynamics and its applications

   Authors

   • Yong Zhou
   • Clara Ionescu
   • J. A. Tenreiro Machado

   • Content type: Editorial
   • Published: 10 April 2015

   • Pages: 1661 - 1664

2. A novel image encryption scheme based on an improper fractional-order chaotic system

   Authors (first, second and last of 4)

   • Jianfeng Zhao
   • Shuying Wang
   • Xianfeng Li

   • Content type: Original Paper
   • Published: 21 January 2015

   • Pages: 1721 - 1729

   

3. An iterative method to design optimal non-fragile \({\varvec{H}}_{\varvec{\infty }}\) observer for Lipschitz nonlinear fractional-order systems

   Authors

   • Elham Amini Boroujeni
   • Hamid Reza Momeni

   • Content type: Original Paper
   • Published: 20 January 2015

   • Pages: 1801 - 1810

   

4. Reduced fractional modeling of 3D video streams: the FERMA approach

   Authors (first, second and last of 4)

   • Raoul R. Nigmatullin
   • Cristiano Ceglie
   • Domenico Striccoli

   • Content type: Original Paper
   • Published: 12 November 2014

   • Pages: 1869 - 1882

   

5. Robust control of nonlinear PEMFC against uncertainty using fractional complex order control

   Authors (first, second and last of 4)

   • Masoomeh Shahiri
   • Abolfazl Ranjbar
   • Reza Ghaderi

   • Content type: Original Paper
   • Published: 09 October 2014

   • Pages: 1785 - 1800

   

6. Bode shaping-based design methods of a fractional order PID controller for uncertain systems

   Authors (first, second and last of 4)

   • B. Saidi
   • M. Amairi
   • M. Aoun

   • Content type: Original Paper
   • Published: 18 September 2014

   • Pages: 1817 - 1838

   

7. Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB)

   Authors

   • P. Muthukumar
   • P. Balasubramaniam
   • K. Ratnavelu

   • Content type: Original Paper
   • Published: 23 July 2014

   • Pages: 1883 - 1897

   

8. Fractional kinetics under external forcing

   Authors

   • Alexander Iomin

   • Content type: Original Paper
   • Published: 11 July 2014

   • Pages: 1853 - 1860

9. Nonlinear normal and anomalous response of non-interacting electric and magnetic dipoles subjected to strong AC and DC bias fields

   Authors

   • W. T. Coffey
   • Y. P. Kalmykov
   • N. Wei

   • Content type: Original Paper
   • Published: 24 June 2014

   • Pages: 1861 - 1867

10. Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces

    Authors

    • Rong-Nian Wang
    • Peng-Xian Zhu
    • Qing-Hua Ma

    • Content type: Original Paper
    • Published: 03 June 2014

    • Pages: 1745 - 1759

11. Stability properties of two-term fractional differential equations

    Authors

    • Jan Čermák
    • Tomáš Kisela

    • Content type: Original Paper
    • Published: 14 May 2014

    • Pages: 1673 - 1684

    

12. A fractional perspective to the bond graph modelling of world economies

    Authors

    • J. A. Tenreiro Machado
    • Maria Eugénia Mata

    • Content type: Original Paper
    • Published: 08 May 2014

    • Pages: 1839 - 1852

    

13. Synchronization and stabilization of fractional second-order nonlinear complex systems

    Authors

    • Mohammad Pourmahmood Aghababa

    • Content type: Original Paper
    • Published: 23 April 2014

    • Pages: 1731 - 1744

    

14. A discrete method to solve fractional optimal control problems

    Authors

    • Ricardo Almeida
    • Delfim F. M. Torres

    • Content type: Original Paper
    • Published: 13 April 2014

    • Pages: 1811 - 1816

    

15. Fractional order control of thermal systems: achievability of frequency-domain requirements

    Authors

    • Vahid Badri
    • Mohammad Saleh Tavazoei

    • Content type: Original Paper
    • Published: 10 April 2014

    • Pages: 1773 - 1783

    

16. Non-linear fractional field equations: weak non-linearity at power-law non-locality

    Authors

    • Vasily E. Tarasov

    • Content type: Original Paper
    • Published: 22 March 2014

    • Pages: 1665 - 1672

17. Fractional order control of unstable processes: the magnetic levitation study case

    Authors (first, second and last of 4)

    • Cristina I. Muresan
    • Clara Ionescu
    • Robin De Keyser

    • Content type: Original Paper
    • Published: 14 March 2014

    • Pages: 1761 - 1772

    

18. Chaos in the fractionally damped broadband piezoelectric energy generator

    Authors (first, second and last of 4)

    • Junyi Cao
    • Shengxi Zhou
    • Yangquan Chen

    • Content type: Original Paper
    • Published: 09 March 2014

    • Pages: 1705 - 1719

    

19. Stochastic solutions for fractional wave equations

    Authors

    • Mark M. Meerschaert
    • René L. Schilling
    • Alla Sikorskii

    • Content type: Original Paper
    • Published: 28 February 2014

    • Pages: 1685 - 1695

20. Discrete chaos in fractional delayed logistic maps

    Authors

    • Guo-Cheng Wu
    • Dumitru Baleanu

    • Content type: Original Paper
    • Published: 18 February 2014

    • Pages: 1697 - 1703