New Search

Export article
Open Access

Nabla generalized fractional Riemann-Liouville calculus on time scales with an application to dynamic equations

Amin Benaissa Cherif, Fatima Zohra Ladrani

Abstract: We introduce more general concepts of nabla Riemann-Liouville fractional integrals and derivatives ontime scales. Such generalizations on time scales help us to study relations between fractional differenceequations and fractional differential equations. Sufficient conditions for the existence and uniqueness of thesolution to an initial value problem are described by nabla derivatives on time scales. Some properties of thenew operator are proved and illustrated with examples.
Keywords: time scales / differential / nabla / Riemann / Liouville / differenceequations / ontime / illustrated / thesolution / Sufficient

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

Share this article

Click here to see the statistics on "Journal of Fractional Calculus and Nonlinear Systems" .
Cited by 1 articles
    Back to Top Top