Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems. (7th May 2014)

• Record Type: Journal Article
• Authors: Prasad, K. R.; Krushna, B. M. B.
• Other Names: Ahmad Bashir Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2014(2014)
• Publication Date: 2014-05-07
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2014/485647
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : 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, D 0 + β 1 ( ϕ p ( D 0 + α 1 u ( t ) ) ) = f 1 ( t, u ( t ), v ( t ) ), t ∈ ( 0, 1 ), D 0 + β 2 ( ϕ p ( D 0 + α 2 v ( t ) ) ) = f 2 ( t, u ( t ), v ( t ) ), t ∈ ( 0, 1 ), u ( 0 ) = D 0 + q 1 u ( 0 ) = 0, γ u ( 1 ) + δ D 0 + q 2 u ( 1 ) = 0, D 0 + α 1 u ( 0 ) = D 0 + α 1 u ( 1 ) = 0, v ( 0 ) = D 0 + q 1 v ( 0 ) = 0, γ v ( 1 ) + δ D 0 + q 2 v ( 1 ) = 0, D 0 + α 2 v ( 0 ) = D 0 + α 2 v ( 1 ) = 0, by applying five functionals fixed point theorem.