Integer and Fractional order Laplace Transform.
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| Title: | Integer and Fractional order Laplace Transform. |
|---|---|
| Authors: | B., Brino Prabu1 brinoinfantprabu@gmail.com, J., Joshvarajarathinam2 jjrr40731@gmail.com, M., Abisha2 mabisha1996@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. Dec2025, Vol. 55 Issue 12, p4318-4330. 13p. |
| Subjects: | Laplace transformation, Mathematical transformations, Fourier series, Mathematical functions, Identities (Mathematics), Fractional differential equations, Gamma functions |
| Abstract: | In this paper, we have extended the Laplace transform to the integer and fractional order. We have defined a new operator for the higher order of transforms, and these transforms have many applications. Several new identities have been derived by using the Gamma functions. Also, we discuss some applications in Fourier series. [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: 189724932 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Integer and Fractional order Laplace Transform. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22B%2E%2C+Brino+Prabu%22">B., Brino Prabu</searchLink><relatesTo>1</relatesTo><i> brinoinfantprabu@gmail.com</i><br /><searchLink fieldCode="AR" term="%22J%2E%2C+Joshvarajarathinam%22">J., Joshvarajarathinam</searchLink><relatesTo>2</relatesTo><i> jjrr40731@gmail.com</i><br /><searchLink fieldCode="AR" term="%22M%2E%2C+Abisha%22">M., Abisha</searchLink><relatesTo>2</relatesTo><i> mabisha1996@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>. Dec2025, Vol. 55 Issue 12, p4318-4330. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Laplace+transformation%22">Laplace transformation</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Identities+%28Mathematics%29%22">Identities (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Gamma+functions%22">Gamma functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we have extended the Laplace transform to the integer and fractional order. We have defined a new operator for the higher order of transforms, and these transforms have many applications. Several new identities have been derived by using the Gamma functions. Also, we discuss some applications in Fourier series. [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.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 4318 Subjects: – SubjectFull: Laplace transformation Type: general – SubjectFull: Mathematical transformations Type: general – SubjectFull: Fourier series Type: general – SubjectFull: Mathematical functions Type: general – SubjectFull: Identities (Mathematics) Type: general – SubjectFull: Fractional differential equations Type: general – SubjectFull: Gamma functions Type: general Titles: – TitleFull: Integer and Fractional order Laplace Transform. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: B., Brino Prabu – PersonEntity: Name: NameFull: J., Joshvarajarathinam – PersonEntity: Name: NameFull: M., Abisha IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 12 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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