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A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations

dc.contributor.authorJena, Rajarama Mohan
dc.contributor.authorChakraverty, Snehashish
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAdel, Waleed
dc.contributor.authorRezazadeh, Hadi
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-07T13:38:11Z
dc.date.available2022-03-07T13:38:11Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the fractional reduced differential transform method (FRDTM) is used to obtain the series solution of time-fractional seventh-order Sawada-Kotera (SSK) and Lax's KdV (LKdV) equations under initial conditions (ICs). Here, the fractional derivatives are considered in the Caputo sense. The results obtained are contrasted with other previous techniques for a specific case, alpha = 1 revealing that the presented solutions agree with the existing solutions. Further, convergence analysis of the present results with an increasing number of terms of the solution and absolute error has also been studied. The behavior of the FRDTM solution and the effects on different values alpha are illustrated graphically. Also, CPU-time taken to obtain the solutions of the title problems using FRDTM has been demonstrated.en_US
dc.description.publishedMonth6
dc.identifier.citationJena, Rajarama Mohan...et al. (2021). "A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations", Modern Physics Letters B, Vol. 35, No. 16.en_US
dc.identifier.doi10.1142/S0217984921502651
dc.identifier.issn0217-9849
dc.identifier.issue16en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5082
dc.identifier.volume35en_US
dc.language.isoenen_US
dc.relation.ispartofModern Physics Letters Ben_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSawada–Kotera Equationen_US
dc.subjectLax’s KDV Equationen_US
dc.subjectFRDTMen_US
dc.subjectFractional Calculusen_US
dc.subjectSemi-Analytical Methoden_US
dc.subjectShallow Wateren_US
dc.titleA robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equationstr_TR
dc.titleA Robust Technique Based Solution of Time-Fractional Seventh-Order Sawada-Kotera and Lax's Kdv Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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