Opuscula Math. 36, no. 2 (2016), 215-238
http://dx.doi.org/10.7494/OpMath.2016.36.2.215

 
Opuscula Mathematica

Solutions of fractional nabla difference equations - existence and uniqueness

Jagan Mohan Jonnalagadda

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.

Mathematics Subject Classification: 34A08, 39A10, 39A99.

Full text (pdf)

Opuscula Mathematica - cover

Cite this article as:
Jagan Mohan Jonnalagadda, Solutions of fractional nabla difference equations - existence and uniqueness, Opuscula Math. 36, no. 2 (2016), 215-238, http://dx.doi.org/10.7494/OpMath.2016.36.2.215

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.