Delta Alpha Integration In Discrete Fractional Calculus.

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Bibliographic Details
Title: Delta Alpha Integration In Discrete Fractional Calculus.
Authors: Saraswathi D.1 dswathisaranya@gmail.com, G., Britto Antony Xavier2 brittoshc@gmail.com, Abisha M. A.1 mabisha1996@gmail.com, Abirami V.3 abiramidvs2221@gmail.com
Source: IAENG International Journal of Applied Mathematics. Apr2025, Vol. 55 Issue 4, p855-860. 6p.
Subjects: Integrable functions, Fractional calculus, Numerical analysis
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:19929978