dc.contributor.author |
Abdel-Gawad, H. I.
|
|
dc.contributor.author |
Tantawy, M.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2021-01-19T12:33:34Z |
|
dc.date.available |
2021-01-19T12:33:34Z |
|
dc.date.issued |
2020-05-15 |
|
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. |
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dc.identifier.issn |
0170-4214 |
|
dc.identifier.issn |
1099-1476 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4468 |
|
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. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1002/mma.6178 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Reduction to PDE |
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dc.subject |
Generalized Time-Fractional Operator |
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dc.subject |
Space-Time Fractional KDV |
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dc.subject |
Boussenisq-Burger's Equations |
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dc.title |
Fractional KdV and Boussenisq-Burger's equations, reduction to PDE and stability approaches |
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dc.type |
article |
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dc.relation.journal |
Mathematical Methods in the Applied Sciences |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
43 |
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dc.identifier.issue |
7 |
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dc.identifier.startpage |
4125 |
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dc.identifier.endpage |
4135 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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