Eqab M. Rabei & Dumitru
Baleanu talk with ScienceWatch.com and answer a
few questions about this month's Fast Breaking Paper in the
field of Mathematics.
Article Title: The Hamilton formalism with
fractional derivatives
Authors: Rabei,
EM;Nawafleh, KI;Hijjawi, RS;Muslih,
SI;Baleanu,
D
Journal: J MATH ANAL APPL
Volume: 327
Issue: 2
Page: 891-897
Year: MAR 15 2007
* Mutah Univ, Dept Phys, Al Karak, Jordan.
* Mutah Univ, Dept Phys, Al Karak, Jordan.
(addresses have been truncated)
Why do you think your paper is highly
cited?
The paper is highly cited because it describes a new method in the emerging
field of fractional calculus. Also the field of the physical applications
of fractional calculus is a hot subject.
Does it describe a new discovery, methodology, or
synthesis of knowledge?
Coauthor
Dumitru Baleanu
The method describes a new methodology to treat fractional dynamical
systems.
Would you summarize the significance of your paper in
layman's terms?
This new methodology is quite useful in discussing fractional dynamics and
its applications. Some possible applications are the quantization of
nonconservative systems using fractional calculus and the fractional
quantization of constrained systems.
How did you become involved in this research, and were
there any problems along the way?
Eqab M. Rabei first became involved in this research by reading some old
papers on variational principles involving fractional terms.
Where do you see your research leading in the
future?
The results obtained in the paper will provide a solid basis for
understanding the fractional quantization method for discrete dynamical
systems.
Professor Eqab M. Rabei
Physics Department
Al al-Bayt university
Mafraq, Jordan
Professor Dumitru Baleanu
Faculty of Art and Sciences
Department of Mathematics and Computer Science
Cankaya University
Ankara, Turkey
Keywords: Hamilton formalism, fractional calculus, fractional
dynamical systems, fractional quantization of constrained systems,
fractional quantization method, discrete dynamical systems.