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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/485647 |
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| author | K. R. Prasad B. M. B. Krushna |
| author_facet | K. R. Prasad B. M. B. Krushna |
| author_sort | K. R. Prasad |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2c047d8f4ae540ed9d1993f3f3bbf117 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-2c047d8f4ae540ed9d1993f3f3bbf1172025-02-03T06:44:43ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/485647 |
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