Mini-Symposium on" Numerical and Analytical methods for fractional partial differential equations"

Chairmen: Shaher Momani and Zaid Odibat
The 2nd International Symposium on Nonlinear Dynamics
27-30 Oct.,2007, Shanghai, China
http://www.2007isnd.com/

Fractional order partial differential equations, as generalizations of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of application. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes.

A great deal of effort has been expended over the last 10 years or so in attempting to find robust and stable numerical and analytical methods for solving fractional partial differential equations of physical interest. Recently few papers were published in this special topic, see the following list:

1. S. Momani, Z. Odibat, Analytical approach to linear fractional partial differential equations arising in fluid mechanics, Physics Letters A, 355 (2006) 271-279.

2. Z. Odibat, S. Momani, Numerical methods for nonlinear partial differential equations of fractional order, Applied Mathematical Modelling, In Press, Corrected Proof, Available online 20 December 2006.

3. S. Momani, Z. Odibat, Comparison between homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Computers and Math. Appl., accepted.

4. S. Momani, Z. Odibat, Homotopy perturbation method for nonlinear partial differential equations of fractional order, Physics Letters A, In Press, Corrected Proof, Available online 8 February 2007.

5. Z. Odibat, S. Momani, Generalized differential transform method for linear partial differential equations of fractional order, Applied Mathematics Letters, accepted.

Prospective contributors are invited to submit their paper to Prof. Shaher Momani by email shahermm@yahoo.com. All presented papers will be published in the Proceedings and the excellent papers will be recommended for publication in International Journal of Nonlinear Sciences and Numerical Simulations or Chaos, Solitons and Fractals, or other journals after the Symposium.