@Article{Jonnalagadda2016, author = "Jonnalagadda, Jagan Mohan", title = "Solutions of fractional nabla difference equations - existence and uniqueness", journal = "Opuscula Math.", year = "2016", volume = "36", number = "2", pages = "215--238", doi = "http://dx.doi.org/10.7494/OpMath.2016.36.2.215", url = "http://dx.doi.org/10.7494/OpMath.2016.36.2.215", abstract = "In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established results we present and analyse a few examples.", keywords = "nabla difference, exponential function, fixed point, existence, uniqueness, continuous dependence", issn = "1232-9274" }