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báo cáo hóa học:" Positive solutions for boundary value problem for fractional differential equation with $p$-Laplacian operator"

Tham khảo tài liệu 'báo cáo hóa học:" positive solutions for boundary value problem for fractional differential equation with $p$-laplacian operator"', luận văn - báo cáo phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Positive solutions for boundary value problem for fractional differential equation with p -Laplacian operator Boundary Value Problems 2012 2012 18 doi 10.1186 1687-2770-2012-18 Guoqing Chai mathchgq@163.com ISSN 1687-2770 Article type Research Submission date 12 October 2011 Acceptance date 15 February 2012 Publication date 15 February 2012 Article URL http www.boundaryvalueproblems.com content 2012 1 18 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http www.boundaryvalueproblems.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Chai licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator Guoqing Chai College of Mathematics and Statistics Hubei Normal University Hubei 435002 P.R. China Email address mathchgq@gmail.com Abstract In this article the author investigates the existence and multiplicity of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator Dẩ w Dổ u t f t u t 0 0 t 1 u 0 0 u 1 ơDq_ u 1 0 í.jổị u 0 0 where Dq Dq and Dq are the standard Riemann-Liouville derivatives with 1 a 2 0 p 1 0 Y 1 0 a Y 1 the constant Ơ is a positive number and p-Laplacian operator is defined as pp s s p-2s p 1. By means of the fixed point .