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Existence and uniqueness of solutions for fractional q-difference Schrödinger equations

  • Kuikui MaEmail author
  • Zhenlai Han
  • Shurong Sun
Original Research
  • 33 Downloads

Abstract

The aim of this paper is to investigate the existence and uniqueness of solutions for a class of fractional q-difference Schrödinger equations appeared in Li et al. (Appl Math Lett 46:100–105, 2015). By use of two completely different approaches—\(u_0\)-positive operator and monotone iterative technique, this paper not only establishes excellent conditions to ensure the existence and uniqueness of solutions for this problem, but also constructs iterative sequences to approximate the solution. As applications, examples are presented to illustrate our main results.

Keywords

Fractional q-difference equations \(u_0\)-positive Iterative method 

Mathematics Subject Classification

34A08 39A13 41A36 34B18 

Notes

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Copyright information

© Korean Society for Informatics and Computational Applied Mathematics 2019

Authors and Affiliations

  1. 1.College of Information Science and EngineeringShandong Agricultural UniversityTaianPeople’s Republic of China
  2. 2.School of Mathematical SciencesUniversity of JinanJinanPeople’s Republic of China

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