Fractional h‐differences with exponential kernels and their monotonicity properties

I Suwan, S Owies, T Abdeljawad - Mathematical Methods in the …, 2021 - Wiley Online Library
In this work, the nabla fractional differences of order 0< μ< 1 with discrete exponential
kernels are formulated on the time scale h Z, where 0< h≤ 1. Hence, the earlier results …

Monotonicity analysis of fractional proportional differences

I Suwan, S Owies, M Abussa… - Discrete Dynamics in …, 2020 - Wiley Online Library
In this work, the nabla discrete new Riemann–Liouville and Caputo fractional proportional
differences of order 0< ε< 1 on the time scale ℤ are formulated. The differences and …

The ℕ0 Story: Discrete Fractional Calculus

R Higgins, H Berger - NOTICES OF THE AMERICAN MATHEMATICAL …, 2022 - ams.org
The derivative is at the heart of science, technology, engineering, and mathematics (STEM)
and specifically calculus. It seems natural, therefore, to extend this idea. What does it mean …