dc.contributor.author |
Hosseini, K.
|
|
dc.contributor.author |
Ilie, M.
|
|
dc.contributor.author |
Mirzazade, M.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2020-12-31T11:29:20Z |
|
dc.date.available |
2020-12-31T11:29:20Z |
|
dc.date.issued |
2020-07-06 |
|
dc.identifier.citation |
Hosseini, K...et al. (2020). "A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1. |
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dc.identifier.issn |
1687-1847 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4421 |
|
dc.description.abstract |
The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo-Fabrizio (CF) derivative. More explicitly, a new (2+1)-dimensional mKdV (2D-mKdV) equation involving the Caputo-Fabrizio time-fractional derivative is considered and an analytic approximation for it is retrieved through a systematic technique, called the homotopy analysis transform (HAT) method. Furthermore, after proving the Lipschitz condition for the kernel psi (x,y,t;u), the fixed-point theorem is formally utilized to demonstrate the existence and uniqueness of the solution of the new 2D-mKdV equation involving the CF time-fractional derivative. A detailed study finally is carried out to examine the effect of the Caputo-Fabrizio operator on the dynamics of the obtained analytic approximation. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1186/s13662-020-02789-5 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
(2 + 1)-Dimensional Mkdv Equation |
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dc.subject |
Caputo–Fabrizio Time-Fractional Derivative |
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dc.subject |
Homotopy Analysis Transform Method |
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dc.subject |
Analytic Approximation |
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dc.subject |
Fixed-Point Theorem |
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dc.subject |
Existence and Uniqueness of the Solution |
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dc.title |
A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative |
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dc.type |
article |
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dc.relation.journal |
Advances in Difference Equations |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
2020 |
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dc.identifier.issue |
1 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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