Alpha Fractional Frequency Laplace Transform Through Multiseries
| dc.contributor.author | Gnanaprakasam, Britto Antony Xavier | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Murugesan, Meganathan | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-03-10T10:28:55Z | |
| dc.date.accessioned | 2025-09-18T14:10:31Z | |
| dc.date.available | 2022-03-10T10:28:55Z | |
| dc.date.available | 2025-09-18T14:10:31Z | |
| dc.date.issued | 2020 | |
| dc.description | M, Meganathan/0000-0002-8807-6450; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions as well. For use in numerical results, we derive a finite summation formula and m-series formulas. Moreover, we discuss various explanatory examples. | en_US |
| dc.description.sponsorship | Tamilnadu State Council for Science and Technology, Dept. of Higher Education, Government of Tamilnadu | en_US |
| dc.description.sponsorship | Catalyzed and financially supported by Tamilnadu State Council for Science and Technology, Dept. of Higher Education, Government of Tamilnadu. | en_US |
| dc.identifier.citation | Murugesan, Meganathan...et al. (2020). "Alpha fractional frequency Laplace transform through multiseries", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02691-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85085301622 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02691-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13715 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | 44A10 | en_US |
| dc.subject | Circular Function | en_US |
| dc.subject | Multiseries | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Fractional Frequency | en_US |
| dc.subject | Tuning Factor | en_US |
| dc.subject | 39A70 | en_US |
| dc.subject | 47B39 | en_US |
| dc.subject | 39A10 | en_US |
| dc.title | Alpha Fractional Frequency Laplace Transform Through Multiseries | en_US |
| dc.title | Alpha fractional frequency Laplace transform through multiseries | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | M, Meganathan/0000-0002-8807-6450 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | M, Meganathan/Aao-4993-2021 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Murugesan, Meganathan; Gnanaprakasam, Britto Antony Xavier] Sacred Heart Coll Autonomous, Dept Math, Tirupattur, India; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Orthogonal Polynomials | |
| gdc.oaire.keywords | Circular function | |
| gdc.oaire.keywords | Multiseries | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Green's function for the three-variable Laplace equation | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Fractional frequency | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Laplace transform applied to differential equations | |
| gdc.oaire.keywords | Mellin transform | |
| gdc.oaire.keywords | Two-sided Laplace transform | |
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| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fourier analysis | |
| gdc.oaire.keywords | Fractional Fourier transform | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Fourier transform | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Tuning factor | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Inverse Laplace transform | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | circular function | |
| gdc.oaire.keywords | multiseries | |
| gdc.oaire.keywords | fractional frequency | |
| gdc.oaire.keywords | tuning factor | |
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| gdc.virtual.author | Jarad, Fahd | |
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