Nabla Fractional Derivative and Fractional Integral on Time Scales

Bikash Gogoi; Utpal Kumar Saha; Bipan Hazarika; Delfim F. M. Torres; Hijaz Ahmad

doi:10.3390/axioms10040317

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arXiv · 2112.13083

Nabla Fractional Derivative and Fractional Integral on Time Scales

Bikash Gogoi·Utpal Kumar Saha·Bipan Hazarika·Delfim F. M. Torres·Hijaz Ahmad

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Abstract

In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann-Liouville sense. We also introduce the nabla fractional derivative in Gr\"unwald-Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.

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Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Delfim F. M. Torres, Hijaz Ahmad. 2021-12-24. Nabla Fractional Derivative and Fractional Integral on Time Scales. https://doi.org/10.3390/axioms10040317

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