Existence and uniqueness of solutions for fractional q-difference Schrödinger equations
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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.
KeywordsFractional q-difference equations \(u_0\)-positive Iterative method
Mathematics Subject Classification34A08 39A13 41A36 34B18
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