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A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations

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posted on 2022-12-12, 11:47 authored by Ioannis K. Dassios
In this article, we focus on a generalized problem of linear non-autonomous fractional nabla difference equations. Firstly, we define the equations and describe how this family of problems covers other linear fractional difference equations that appear in the literature. Then, by using matrix theory we provide a new practical formula of solutions for these type of equations. Finally, numerical examples are given to justify our theory.

History

Publication

Journal of Computational and Applied Mathematics;339, pp. 317-328

Publisher

Elsevier

Note

peer-reviewed

Other Funding information

SFI

Rights

This is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and applied mathematics, 2018, 339, pp. 317-328, https://doi.org/10.1016/j.cam.2017.09.030

Language

English

Also affiliated with

  • MACSI - Mathematics Application Consortium for Science & Industry

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Department or School

  • Mathematics & Statistics

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    University of Limerick

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    Keywords

    non-autonomousmatrixnablafractionaldifference equations

    Licence

    CC BY-NC-SA 1.0

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