FRACTIONAL DIFFERENCE INEQUALITIES OF BIHARI TYPE

TitleFRACTIONAL DIFFERENCE INEQUALITIES OF BIHARI TYPE
Publication TypeJournal Article
Year of Publication2010
AuthorsDEEKSHITULU, GVSR, J. MOHAN, JAGAN
Secondary TitleCommunications in Applied Analysis
Volume14
Issue3
Start Page343
Pagination354
Date Published08/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS39A10, 39A99
Abstract

In this paper, using the properties of ∇−α , some discrete fractional inequalities of Bihari-type are established.
URLhttp://www.acadsol.eu/en/articles/14/3/6.pdf
Short TitleFRACTIONAL DIFFERENCE INEQUALITIES OF BIHARI TYPE
Refereed DesignationRefereed
Full Text

REFERENCES

[1] Atsushi Nagai : Fractional logistic map, 2002.
[2] B.G.Pachpatte : Finite difference inequalities and quantitative stability analysis of difference equations, Proc. Natn. Acad.Sci., India, Vol.5, No.5, 457–463.
[3] B. G. Pachpatte : Integral and finite difference inequalities and applications, Elsevier, The Netherlands, 2006.
[4] G. V. S. R. Deekshitulu, J. Jagan Mohan : Fractional difference inequalities, Accepted for publication in Communications in Applied Analysis.

[5] J. B. Diaz, T. J. Osler : Differences of fractional order, Math. Comp., Vol. 28, 1974, pp. 185–201.
[6] V. Lakshmikantham and D. Trigiante : Theory of difference equations, Academic press, New York, 1988.
[7] V. Lakshmikantham and S. Leela : Differential and integral inequalities, Vol.I, Academic press, New York, 1969.
[8] I. Podlubny : Fractional differential equations, Academic press, San Diego, 1999.
[9] R. Hirota : Lectures on difference equations, Science-sha, 2000(in Japanese).