THE SUMUDU TRANSFORM ON DISCRETE TIME SCALES
By
Javid Ahmad Ganiea,* and Renu Jaina,b
aSchool of Mathematics and Allied Sciences, Jiwaji University Gwalior-474011, India.
bDevi Ahilya Vishwavidyalaya, Indore-452001, India.
Email:ganiejavid111@gmail.com*, renujain3@rediffmail.com
(Received : February 24,2021 ; Revised : April 18, 2021 ; In final form : December 26, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51208
Abstract
The study of dynamic equations on time scale is an area of mathematics that has recently received a lot of attention. This type of calculus has been created in order to unify the study of discrete and continuous analysis. Integral transforms play a crucial role in analysis in solving differential and difference equations. In this paper, we introduce the Sumudu transform on two different time scales by using the theory of time scale calculus. Finally, we employ these definitions to derive the results like, convolution, delay(shift) and inversion on these discrete time scales. Further, these results coincide with those in continuous case.
2020 Mathematical Sciences Classification: 34N05, 35A22, 46F12, 44A35.
Keywords and Phrases: Time scales, Sumudu transform, Quantum Calculus, Convolution.