This research aims to develop discrete fundamental theorems using a new strategy, known
as delta integration method, on a class of delta integrable functions. The ν th-fractional sum …

The main objective of this paper is finding new types of discrete transforms with tuning factor
t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace …

The theory of discrete versions of the fundamental nabla integration theorems is being
developed in this work. Through∞-order nabla-integrable function, this theory has been …

This paper analyzes the use of forward Hybrid delta operator with shift value to obtain
generalized infinite series of fractional hybrid summation formula and also extract numerical …

We investigate the generalized partial difference operator and propose a model of it in
discrete heat equation in this paper. The diffusion of heat is studied by the application of …

The recent theory and applications of difference operator ΔL introduced in (M. Maria Susai
Manuel et al., 2012) are enriched and extended with a useful tool Δ ℓ-m [k ℓ (n) ek]||(m-1) ℓ+ …

Our main goal in this work is to derive the frequency Laplace transforms of the products of
two and three functions with tuning factors. We propose the Laplace transform for certain …

We derive the discrete version of Leibnitz Theorem, Montmorte's Theorem with respect to
generalized α-difference equation. We also investigate the numerical and complete …

In this paper, we derive a series of new theorems and formulae on certain type of multi-
series by equating closed and summation solutions of generalized difference equation with …

This paper aims to obtain the extorial type solutions for Fibonacci difference equations on
real valued function defined in two dimensional space having shift value ℓ. Using two …