Title | FRACTIONAL DIFFERENCE INEQUALITIES |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | DEEKSHITULU, GVSR, J. MOHAN, JAGAN |
Secondary Title | Communications in Applied Analysis |
Volume | 14 |
Issue | 1 |
Start Page | 89 |
Pagination | 98 |
Date Published | 01/2010 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 39A10, 39A99. |
Abstract | The basic inequalities for fractional difference equations have been obtained using a modified definition of the fractional difference operator [1].
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URL | http://www.acadsol.eu/en/articles/14/1/8.pdf |
Short Title | FRACTIONAL DIFFERENCE INEQUALITIES |
Refereed Designation | Refereed |
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. |