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Abstract and Applied AnalysisVolume 2010 2010, Article ID 501230, 15 pages

Research Article

Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Sector H-12, Islamabad 46000, Pakistan

University of Malakand, Chakdara DirL, Khyber Pakhutoonkhwa, Pakistan

Received 28 June 2010; Revised 21 September 2010; Accepted 28 October 2010

Academic Editor: Paul Eloe

Copyright © 2010 Mujeeb Ur Rehman and Rahmat Ali Khan. 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.

Abstract

We study existence of positive solutions to nonlinear higher-order nonlocalboundary value problems corresponding to fractional differential equation of the type , , . , , , , where, , , , the boundary parameters and is the Caputo fractional derivative. We use the classical tools from functional analysis to obtainsufficient conditions for the existence and uniqueness of positive solutions to the boundary valueproblems. We also obtain conditions for the nonexistence of positive solutions to the problem. Weinclude examples to show the applicability of our results.





Autor: Mujeeb Ur Rehman and Rahmat Ali Khan

Fuente: https://www.hindawi.com/



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