Twin iterative positive solutions of fractional q-difference Schrödinger equations

The primary work of this paper is to investigate twin iterative positive solutions of a class of fractional q-difference Schrödinger equations appeared in Li et al. (2015). By employing a completely different approach-monotone iterative approach, this paper not only establishes excellent conditions to ensure the existence of the twin iterative positive solutions, but also constructs two convergent monotone explicit iterative schemes to seek them. The obtained theorems are well illustrated with the aid of an example.