Nabla Fractional Derivative and Fractional Integral on Time Scales
Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Delfim F. M. Torres, Hijaz Ahmad
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 Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
Topics & Concepts
Nabla symbolFractional calculusMathematicsDerivative (finance)Pure mathematicsMathematical analysisApplied mathematicsPhysicsOmegaQuantum mechanicsFinancial economicsEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods