A nabla fractional Riemann-Liouville calculus on time scales with application to dynamic equations

Authors

  • Amin Benaissa Cherif University of Science and Technology of Oran, ”Mohamed-Boudiaf” (USTOMB), Oran, Algeria.
  • Fatima Zohra Ladrani Higher Training Teacher’s School of Oran (ENSO), Oran, Algeria

Keywords:

Time scales, fractional derivatives, dynamic equations, initial value problems

Abstract

We introduce more general concepts of Riemann-Liouville fractional nabla integral and nabla derivative on time scales. By using the fixed point theorem, suffi cient conditions for existence and uniqueness of solution to an initial value problem described by nabla derivatives on time scales. Some properties of the new operator are proved and illustrated with examples.

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Published

2022-10-31

Issue

Vol. 9 (2022)

Section

Articles

License

Copyright (c) 2022 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.