2025/01/15 by Gaddiel L. Dorado, Dorado, Gaddiel L., Mark Allien D. Roble +1
Mathematics · #26A24 #26A33 #26E70 #39A12 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis
paper · pdf · doi:10.48550/arxiv.2501.08596
openalex publication_date 2025/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The nabla fractional derivative, which was introduced by Gogoi et.al., generalized the ordinary derivative with non-integer order, and unifies the continuous and discrete analysis using backward operator. In this study, we proposed a modification of their definition. The main focus of this work is to introduce a chain rule formula and a generalized mean value theorem for nabla fractional differentiation on time scale. Results of this study will be applied in finding the sum of a finite series.