On Weighted Fractional Operators With Applications To Mathematical Models Arising in Physics
| dc.contributor.author | Umer, M. | |
| dc.contributor.author | Naheed, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Samraiz, M. | |
| dc.date.accessioned | 2024-01-29T13:46:49Z | |
| dc.date.accessioned | 2025-09-18T15:43:37Z | |
| dc.date.available | 2024-01-29T13:46:49Z | |
| dc.date.available | 2025-09-18T15:43:37Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In recent study, we develop the weighted generalized Hilfer-Prabhakar fractional derivative operator and explore its key properties. It unifies many existing fractional derivatives like Hilfer-Prabhakar and Riemann-Liouville. The weighted Laplace transform of the newly defined derivative is obtained. By involving the new fractional derivative, we modeled the free-electron laser equation and kinetic equation and then found the solutions of these fractional equations by applying the weighted Laplace transform. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG. | en_US |
| dc.identifier.citation | Samraiz, Muhammad;...et.al. "On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics", Advances in Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2022, Proceedings, pp.53-68, 2023. | en_US |
| dc.identifier.doi | 10.1007/978-3-031-29959-9_3 | |
| dc.identifier.isbn | 9783031299582 | |
| dc.identifier.issn | 2367-3370 | |
| dc.identifier.scopus | 2-s2.0-85161652769 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-031-29959-9_3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13984 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | en_US |
| dc.relation.ispartof | Lecture Notes in Networks and Systems -- 5th International Conference On Mathematical Modelling, Applied Analysis And Computation, ICMMAAC 2022 -- 4 August 2022 through 6 August 2022 -- Vidhani -- 293489 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Kinetic Equation | en_US |
| dc.subject | Free-Electron Laser Equation | en_US |
| dc.subject | Weighted Hilfer-Prabhakar Fractional Derivative | en_US |
| dc.subject | Weighted Laplace Transform | en_US |
| dc.title | On Weighted Fractional Operators With Applications To Mathematical Models Arising in Physics | en_US |
| dc.title | On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics | tr_TR |
| dc.type | Conference Object | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Samraiz M., Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan; Umer M., Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan; Naheed S., Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan; Baleanu D., Department of Mathematics, Cankaya University, Ankara, 06530, Turkey, Institute of Space Sciences, Magurele, 077125, Romania | en_US |
| gdc.description.endpage | 68 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 53 | en_US |
| gdc.description.volume | 666 LNNS | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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