The Generalized Discrete Proportional Derivative and Its Applications
Open Access
- 27 November 2023
- journal article
- research article
- Published by MDPI AG in Fractal and Fractional
- Vol. 7 (12) , 838
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.Keywords
Funding Information
- King Saud University (RSPD2023R683, CIT/CNS/2023/RP-005)
- Centre for Nonlinear Systems, Chennai Institute of Technology (CIT) (RSPD2023R683, CIT/CNS/2023/RP-005)
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