Fractional Kdv and Boussenisq-burger's Equations, Reduction To Pde and Stability Approaches
| dc.contributor.author | Tantawy, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Abdel-Gawad, H. I. | |
| dc.date.accessioned | 2021-01-19T12:33:34Z | |
| dc.date.accessioned | 2025-09-18T12:09:53Z | |
| dc.date.available | 2021-01-19T12:33:34Z | |
| dc.date.available | 2025-09-18T12:09:53Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdel-Gawad, Hamdy/0000-0003-1986-2324 | en_US |
| dc.description.abstract | The generalized fractional Caputo-operator is discussed. The reduction of partial differential equations retarded or advanced with delays is obtained. The applications to the space-time-fractional KdV and time-fractional Boussenisq-Burger's equation are carried. Semi-self-similar SS wave solutions are obtained. That is, there exists a soliton wave propagates along a specific characteristic curve in the xt- plane. This may be due to the effects associated with the distributed time delay. The effects of space fractional derivative on a system are attributed to the transition states. Thus, anomalous wave transport is produced mainly near the origin. | en_US |
| dc.identifier.citation | Abdel-Gawad, H. I.; Tantawy, M.; Baleanu, Dumitru (2020). "Fractional KdV and Boussenisq-Burger's equations, reduction to PDE and stability approaches", Mathematical Methods in the Applied Sciences, Vol. 43, no. 7, pp. 4125-4135. | en_US |
| dc.identifier.doi | 10.1002/mma.6178 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85078669704 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6178 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11550 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Reduction To Pde | en_US |
| dc.subject | Generalized Time-Fractional Operator | en_US |
| dc.subject | Space-Time Fractional Kdv | en_US |
| dc.subject | Boussenisq-Burger'S Equations | en_US |
| dc.title | Fractional Kdv and Boussenisq-burger's Equations, Reduction To Pde and Stability Approaches | en_US |
| dc.title | Fractional KdV and Boussenisq-Burger's equations, reduction to PDE and stability approaches | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdel-Gawad, Hamdy/0000-0003-1986-2324 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Tantawy, M./Aaj-2805-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdel-Gawad, H. I.] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Tantawy, M.] October 6 Univ, Fac Engn, Dept Basic Sci, Cairo, Egypt; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 4135 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 4125 | en_US |
| gdc.description.volume | 43 | en_US |
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| gdc.oaire.keywords | Soliton equations | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Stability theory of functional-differential equations | |
| gdc.oaire.keywords | Boussenisq-Burger's equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | reduction to PDE | |
| gdc.oaire.keywords | spacetime fractional KdV | |
| gdc.oaire.keywords | generalized time-fractional operator | |
| gdc.oaire.keywords | PDEs in connection with fluid mechanics | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Solitary waves for incompressible inviscid fluids | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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