Generalized Fractional Derivatives and Laplace Transform
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-05-11T10:52:58Z | |
| dc.date.accessioned | 2025-09-18T12:10:01Z | |
| dc.date.available | 2022-05-11T10:52:58Z | |
| dc.date.available | 2025-09-18T12:10:01Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Jarad, Fahd; Abdeljawad, Thabet (2020). "Generalized fractional derivatives and Laplace transform", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 709-722. | en_US |
| dc.identifier.doi | 10.3934/dcdss.2020039 | |
| dc.identifier.issn | 1937-1632 | |
| dc.identifier.issn | 1937-1179 | |
| dc.identifier.scopus | 2-s2.0-85078898853 | |
| dc.identifier.uri | https://doi.org/10.3934/dcdss.2020039 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11564 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Discrete & Continuous Dynamical Systems - S | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Fractional Derivatives | en_US |
| dc.subject | Generalized Caputo Fractional Derivative | en_US |
| dc.subject | Generalized Laplace Transform | en_US |
| dc.title | Generalized Fractional Derivatives and Laplace Transform | en_US |
| dc.title | Generalized fractional derivatives and Laplace transform | tr_TR |
| dc.type | Article | en_US |
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| 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 | [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan | en_US |
| gdc.description.endpage | 722 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 709 | en_US |
| gdc.description.volume | 13 | en_US |
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| gdc.oaire.keywords | generalized Laplace transform | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | generalized fractional derivatives | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | generalized Caputo fractional derivative | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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