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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2016 (2016), Article ID 9

Positive solutions for fractional difference equations using fixed point theorem

Lavanya A.P., Daphy Louis Lovenia J.

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Abstract

Consider a two point boundary value problem for fractional difference equation.

Existence and uniqueness of the solutions of (1.1) are established using the contraction mapping theorem and krasnosel’skii theorem. Examples are provided to illustrate the result.

Published
25 March 2016
Volume
2016 (2016)
License
CC BY 3.0

Copyright © 2016 Lavanya A.P., Daphy Louis Lovenia J.. 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.

Cite this article

L. A.P., D. L. Lovenia J., Positive solutions for fractional difference equations using fixed point theorem, Adv. Inequal. Appl. 2016 (2016), 9.

BibTeX
@article{A.P.2016,
  author  = {A.P., Lavanya and Lovenia J., Daphy Louis},
  title   = {Positive solutions for fractional difference equations using fixed point theorem},
  journal = {Adv. Inequal. Appl.},
  volume  = {2016},
  year    = {2016},
  pages   = {9},
  doi     = {}
}