Mathematics, Department of
Department of Mathematics: Faculty Publications
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Document Type
Article
Date of this Version
6-24-2017
Citation
2017, No. 51, 1–16; doi: 10.14232/ejqtde.2017.1.51 http://www.math.u-szeged.hu/ejqtde/
Abstract
This paper is concerned with finding properties of solutions to initial value problems for nonlinear Caputo nabla fractional difference equations. We obtain existence and rapid convergence results for such equations by use of Schauder’s fixed point theorem and the generalized quasi-linearization method, respectively. A numerical example is given to illustrate one of our rapid convergence results.