Abstract and Applied Analysis
Volume 2011 (2011), Article ID 497259, 16 pages
Research Article

On the Fractional Difference Equations of Order ( 2 , 𝑞 )

1Department of Mathematics, Xiamen University, Xiamen 361005, China
2Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 24 May 2011; Accepted 27 July 2011

Academic Editor: Natig Atakishiyev

Copyright © 2011 Jin-Fa Cheng and Yu-Ming Chu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a kind of new definition of fractional difference, fractional summation, and fractional difference equations and gives methods for explicitly solving fractional difference equations of order ( 2 , 𝑞 ) .