Journal of Applied Mathematics and Computing

, Volume 42, Issue 1, pp 89–102

Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation

Applied mathematics

DOI: 10.1007/s12190-012-0622-4

Cite this article as:
Yang, L., Chen, H., Luo, L. et al. J. Appl. Math. Comput. (2013) 42: 89. doi:10.1007/s12190-012-0622-4

Abstract

In this paper, we investigate the positive solutions for a class of nonlinear q-fractional boundary value problem. We not only obtain the existence and uniqueness of positive solutions, but also establish the iterative schemes for approximating the solutions, which is benefit for computation and application.

Keywords

Fractional q-difference equationPositive solutionSuccessive iteration

Mathematics Subject Classification

26A3334B1539A05

Copyright information

© Korean Society for Computational and Applied Mathematics 2012

Authors and Affiliations

  1. 1.Department of Mathematics and Computing SciencesHengyang Normal UniversityHengyangPeople’s Republic of China
  2. 2.Department of MathematicsCentral South UniversityChangshaPeople’s Republic of China