The Generalized Discrete Proportional Derivative and Its Applications-Reference-Cited by-同舟云学术

The Generalized Discrete Proportional Derivative and Its Applications

Published:2023-11-27 Issue:12 Volume:7 Page:838
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Pandurangan Rajiniganth¹^ORCID,Shanmugam Saravanan²,Rhaima Mohamed³^ORCID,Ghoudi Hamza⁴

Affiliation:

1. Department of Mathematics, School of Engineering and Technology, Dhanalakshmi Srinivasan University, Samayapuram 621112, Tamil Nadu, India

2. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India

3. Department of Statistics and Operations Research, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

4. Departments of mathematics, MODAL’X UMR9023, UFR SEGMI, BAT G, 200, Ave de la Republique, University of Paris Nanterre, 92000 Nanterre, France

Abstract

The aim of this paper is to define the generalized discrete proportional derivative (GDPD) and illustrate the application of the Leibniz theorem, the binomial expansion, and Montmort’s formulas in the context of the generalized discrete proportional case. Furthermore, we introduce the generalized discrete proportional Laplace transform and determine the GDPLT of various functions using the inverse operator. The results obtained are showcased through relevant examples and validated using MATLAB.

Funder

King Saud University

Centre for Nonlinear Systems, Chennai Institute of Technology

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/12/838/pdf

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