Stability Analysis of Higher Order and Fractional Anti-Differences with Mixed Difference Operators.
Saved in:
| Title: | Stability Analysis of Higher Order and Fractional Anti-Differences with Mixed Difference Operators. |
|---|---|
| Authors: | S., Divya Bharathi1 divyabharathitacw@gmail.com, T. G., Gerly2 gerly@shctpt.edu, V., Rexma Sherine3 rexmaprabu123@gmail.com, G., Britto Antony Xavier4 brittoshc@gmail.com, S., Geethalakshmi1 geethathiru126@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. Sep2025, Vol. 55 Issue 9, p2822-2833. 12p. |
| Subjects: | Difference operators, Difference equations, Stability theory, Mathematical series, Operator equations |
| Abstract: | The objective of this article is to explore the anti-difference principle using mixed difference operators, deriving theorems for the mth order anti-difference related to finite series. We establish higher order difference equations with factorial coefficients, extending to fractional orders and deriving a fractional anti-difference principle from its integer counterpart. Mixed gamma geometric factorials are introduced to formulate fundamental theorems for mixed fractional difference equations. We analyze the behavior of the vth order anti-difference principle, providing a solid theoretical foundation for applying mixed difference operators in discrete dynamics. [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 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 187681843 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Stability Analysis of Higher Order and Fractional Anti-Differences with Mixed Difference Operators. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22S%2E%2C+Divya+Bharathi%22">S., Divya Bharathi</searchLink><relatesTo>1</relatesTo><i> divyabharathitacw@gmail.com</i><br /><searchLink fieldCode="AR" term="%22T%2E+G%2E%2C+Gerly%22">T. G., Gerly</searchLink><relatesTo>2</relatesTo><i> gerly@shctpt.edu</i><br /><searchLink fieldCode="AR" term="%22V%2E%2C+Rexma+Sherine%22">V., Rexma Sherine</searchLink><relatesTo>3</relatesTo><i> rexmaprabu123@gmail.com</i><br /><searchLink fieldCode="AR" term="%22G%2E%2C+Britto+Antony+Xavier%22">G., Britto Antony Xavier</searchLink><relatesTo>4</relatesTo><i> brittoshc@gmail.com</i><br /><searchLink fieldCode="AR" term="%22S%2E%2C+Geethalakshmi%22">S., Geethalakshmi</searchLink><relatesTo>1</relatesTo><i> geethathiru126@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>. Sep2025, Vol. 55 Issue 9, p2822-2833. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Difference+operators%22">Difference operators</searchLink><br /><searchLink fieldCode="DE" term="%22Difference+equations%22">Difference equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+series%22">Mathematical series</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+equations%22">Operator equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The objective of this article is to explore the anti-difference principle using mixed difference operators, deriving theorems for the mth order anti-difference related to finite series. We establish higher order difference equations with factorial coefficients, extending to fractional orders and deriving a fractional anti-difference principle from its integer counterpart. Mixed gamma geometric factorials are introduced to formulate fundamental theorems for mixed fractional difference equations. We analyze the behavior of the vth order anti-difference principle, providing a solid theoretical foundation for applying mixed difference operators in discrete dynamics. [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=187681843 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 2822 Subjects: – SubjectFull: Difference operators Type: general – SubjectFull: Difference equations Type: general – SubjectFull: Stability theory Type: general – SubjectFull: Mathematical series Type: general – SubjectFull: Operator equations Type: general Titles: – TitleFull: Stability Analysis of Higher Order and Fractional Anti-Differences with Mixed Difference Operators. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: S., Divya Bharathi – PersonEntity: Name: NameFull: T. G., Gerly – PersonEntity: Name: NameFull: V., Rexma Sherine – PersonEntity: Name: NameFull: G., Britto Antony Xavier – PersonEntity: Name: NameFull: S., Geethalakshmi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 9 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
