Multiple Positive Solutions for a Coupled System ofp-Laplacian Fractional Order Two-Point Boundary Value Problems-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Prasad K. R.¹,Krushna B. M. B.²

Affiliation:

1. Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India

2. Department of Mathematics, MVGR College of Engineering, Vizianagaram 535 005, India

Abstract

This paper establishes the existence of at least three positive solutions for a coupled system ofp-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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2014/485647.pdf

Reference17 articles.

1. Multiple Solutions and Eigenvalues for Third-Order Right Focal Boundary Value Problems

2. Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian

3. Positive solutions for third-order Sturm–Liouville boundary value problems with p-Laplacian

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