Nabla Fractional Derivative and Fractional Integral on Time Scales
Bikash Gogoi,
Utpal Kumar Saha,
Bipan Hazarika,
Delfim F. M. Torres,
Hijaz Ahmad
Affiliations
Bikash Gogoi
Department of Basic and Applied Science, National Institute of Technology, Jote 791113, Arunachal Pradesh, India
Utpal Kumar Saha
Department of Basic and Applied Science, National Institute of Technology, Jote 791113, Arunachal Pradesh, India
Bipan Hazarika
Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
Delfim F. M. Torres
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Hijaz Ahmad
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
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 Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
