Delta Alpha Integration In Discrete Fractional Calculus.
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| 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] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 184179891 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Delta Alpha Integration In Discrete Fractional Calculus. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Saraswathi+D%2E%22">Saraswathi D.</searchLink><relatesTo>1</relatesTo><i> dswathisaranya@gmail.com</i><br /><searchLink fieldCode="AR" term="%22G%2E%2C+Britto+Antony+Xavier%22">G., Britto Antony Xavier</searchLink><relatesTo>2</relatesTo><i> brittoshc@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Abisha+M%2E+A%2E%22">Abisha M. A.</searchLink><relatesTo>1</relatesTo><i> mabisha1996@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Abirami+V%2E%22">Abirami V.</searchLink><relatesTo>3</relatesTo><i> abiramidvs2221@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2025, Vol. 55 Issue 4, p855-860. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Integrable+functions%22">Integrable functions</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=184179891 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 855 Subjects: – SubjectFull: Integrable functions Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Delta Alpha Integration In Discrete Fractional Calculus. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Saraswathi D. – PersonEntity: Name: NameFull: G., Britto Antony Xavier – PersonEntity: Name: NameFull: Abisha M. A. – PersonEntity: Name: NameFull: Abirami V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 4 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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