Abstract

The objective of this article is to develop the theory of discrete version of the fundamental theorem on α(l)-delta integration, utilizing ∞-order α(l) integrable functions. This theory is subsequently applied to establish several fundamental theorems and illustrate examples concerning fractional order sums in the field of discrete fractional calculus.

Details

Title
Delta Alpha Integration In Discrete Fractional Calculus
Author
Saraswathi, D 1 ; Xavier, G Britto Antony 2 ; Abisha, M 1 ; Abirami, V 3 

 research scholar at the Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India 
 Associate Professor at the Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India 
 PG student at the Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India 
Pages
855-860
Publication year
2025
Publication date
Apr 2025
Publisher
International Association of Engineers
ISSN
1992-9978
e-ISSN
1992-9986
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3217244703
Copyright
© 2025. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the"License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.