Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems

This paper establishes the existence of at least three positive solutions for a coupled system of p-Laplacian fractional order two-point boundary value problems, D0+β1(ϕp(D0+α1u(t)))=f1(t,u(t),v(t)), t∈(0,1), D0+β2(ϕp(D0+α2v(t)))=f2(t,u(t),v(t)), t∈(0,1), u(0)=D0+q1u(0)=0, γu(1)+δD0+q2u(1)=0, D0+α1u...

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Main Authors:	K. R. Prasad, B. M. B. Krushna
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	International Journal of Differential Equations
Online Access:	http://dx.doi.org/10.1155/2014/485647

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spelling	doaj-2c047d8f4ae540ed9d1993f3f3bbf1172020-11-24T23:13:42ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/485647485647Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value ProblemsK. R. Prasad0B. M. B. Krushna1Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, IndiaDepartment of Mathematics, MVGR College of Engineering, Vizianagaram 535 005, IndiaThis paper establishes the existence of at least three positive solutions for a coupled system of p-Laplacian fractional order two-point boundary value problems, D0+β1(ϕp(D0+α1u(t)))=f1(t,u(t),v(t)), t∈(0,1), D0+β2(ϕp(D0+α2v(t)))=f2(t,u(t),v(t)), t∈(0,1), u(0)=D0+q1u(0)=0, γu(1)+δD0+q2u(1)=0, D0+α1u(0)=D0+α1u(1)=0, v(0)=D0+q1v(0)=0, γv(1)+δD0+q2v(1)=0, D0+α2v(0)=D0+α2v(1)=0, by applying five functionals fixed point theorem.http://dx.doi.org/10.1155/2014/485647
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	K. R. Prasad B. M. B. Krushna
spellingShingle	K. R. Prasad B. M. B. Krushna Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems International Journal of Differential Equations
author_facet	K. R. Prasad B. M. B. Krushna
author_sort	K. R. Prasad
title	Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems
title_short	Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems
title_full	Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems
title_fullStr	Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems
title_full_unstemmed	Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems
title_sort	multiple positive solutions for a coupled system of p-laplacian fractional order two-point boundary value problems
publisher	Hindawi Limited
series	International Journal of Differential Equations
issn	1687-9643 1687-9651
publishDate	2014-01-01
description	This paper establishes the existence of at least three positive solutions for a coupled system of p-Laplacian fractional order two-point boundary value problems, D0+β1(ϕp(D0+α1u(t)))=f1(t,u(t),v(t)), t∈(0,1), D0+β2(ϕp(D0+α2v(t)))=f2(t,u(t),v(t)), t∈(0,1), u(0)=D0+q1u(0)=0, γu(1)+δD0+q2u(1)=0, D0+α1u(0)=D0+α1u(1)=0, v(0)=D0+q1v(0)=0, γv(1)+δD0+q2v(1)=0, D0+α2v(0)=D0+α2v(1)=0, by applying five functionals fixed point theorem.
url	http://dx.doi.org/10.1155/2014/485647
work_keys_str_mv	AT krprasad multiplepositivesolutionsforacoupledsystemofplaplacianfractionalordertwopointboundaryvalueproblems AT bmbkrushna multiplepositivesolutionsforacoupledsystemofplaplacianfractionalordertwopointboundaryvalueproblems
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Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems

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