FRACTIONAL DIFFERENCE INEQUALITIES

TitleFRACTIONAL DIFFERENCE INEQUALITIES
Publication TypeJournal Article
Year of Publication2010
AuthorsDEEKSHITULU, GVSR, J. MOHAN, JAGAN
Secondary TitleCommunications in Applied Analysis
Volume14
Issue1
Start Page89
Pagination98
Date Published01/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS39A10, 39A99.
Abstract
The basic inequalities for fractional difference equations have been obtained using a modified definition of the fractional difference operator [1].
URLhttp://www.acadsol.eu/en/articles/14/1/8.pdf
Short TitleFRACTIONAL DIFFERENCE INEQUALITIES
Refereed DesignationRefereed
Full Text

REFERENCES

[1] Atsushi Nagai, Fractional Logistic Map, (2002).
[2] J. B. Diaz and T. J. Osler, Differences of Fractional Order, Math.Comp. 28 (1974), 185–201.
[3] Henry L Gray and Nien fan Zhang, On a New Definition of the Fractional Difference, Math.Comp. 50 (1988), 513–529.
[4] R. Hirota, Lectures on Difference Equations, Science-sha (in Japanese) (2000).
[5] J. R. M. Hosking, Fractional Differencing, Biometrika 68 (1981), 165–176.
[6] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Academic Press, New York, 1969.
[7] V. Lakshmikantham and D. Trigiante, Theory of Difference Equations, Academic Press, New York, 1988.c
[8] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.