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

https://doi.org/10.48185/jfcns.v3i1.391

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 2010 MSC: 26A33, 34K37, 34N05.

Abstract

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

Published

2022-06-28

How to Cite

BENAISSA CHERIF, A., & LADRANI, F. Z. (2022). Nabla generalized fractional Riemann-Liouville calculus on time scales with an application to dynamic equations. Journal of Fractional Calculus and Nonlinear Systems, 3(1), 12–19. https://doi.org/10.48185/jfcns.v3i1.391

Issue

Vol. 3 No. 1 (2022): 2022 (1)

Section

Articles
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Copyright (c) 2022 Journal of Fractional Calculus and Nonlinear Systems

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