Multiple Positive Solutions for a coupled system of Sturm-Liouville Fractional Order Two-point Boundary Value Probles

Authors

  • Professor
  • Dept., of Mathematics MVGR College of Engineering Vizianagaram, 535 005

Abstract

In this paper, we establish the existence of at least three positive solutions for a coupled system of Sturm-Liouville fractional order two-point boundary value problems, by using Avery generalization of the Leggett Williams fixed point theorem. And then, we establish the existence of at least 2k−1 positive solutions to the fractional order boundary value problems for an arbitrary positive integer k.

Author Biographies

  • , Professor
    Professor, Applied Mathematics Department
  • , Dept., of Mathematics MVGR College of Engineering Vizianagaram, 535 005

    Department of Mathematics,

    Assistant Professor,

     

Downloads

Published

2013-11-23

Issue

Vol. 20 No. 4 (2013)

Section

Articles

How to Cite

Multiple Positive Solutions for a coupled system of Sturm-Liouville Fractional Order Two-point Boundary Value Probles. (2013). Nonlinear Studies, 20(4). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/848