New Fractional Derivatives Applied to the Korteweg-De Vries and Korteweg-De Vries-Burger's Equations
dc.contributor.author | Saad, Khaled M. | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Atangana, Abdon | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2020-03-26T08:21:06Z | |
dc.date.available | 2020-03-26T08:21:06Z | |
dc.date.issued | 2018 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this paper, we extend the model of the Korteweg-de Vries (KDV) and Korteweg-de Vries-Burger's (KDVB) to new model time fractional Korteweg-de Vries (TFKDV) and time fractional Korteweg-de Vries-Burger's (TFKDVB) with Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Atangana-Baleanu (AB) fractional time derivative equations, respectively. We utilize the q-homotopy analysis transform method (q-HATM) to compute the approximate solutions of TFKDV and TFKDVB using LC, CF and AB in Liouville-Caputo sense. We study the convergence analysis of q-HATM by computing the Residual Error Function (REF) and finding the interval of the convergence through the h-curves. Also, we find the optimal values of h so that, we assure the convergence of the approximate solutions. The results are very effective and accurate in solving the TFKDV and TFKDVB. | en_US |
dc.description.publishedMonth | 9 | |
dc.identifier.citation | Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon, "New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger's equations", Computational & Applied Mathematics. Vol. 37, No 4, pp. 5203,5216, (2018) | en_US |
dc.identifier.doi | 10.1007/s40314-018-0627-1 | |
dc.identifier.endpage | 5216 | en_US |
dc.identifier.issn | 0101-8205 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 5203 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/2743 | |
dc.identifier.volume | 37 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer Heidelberg | en_US |
dc.relation.ispartof | Computational & Applied Mathematics | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Time Fractional Korteweg-De Vries | en_US |
dc.subject | Time Fractional Korteweg-De Vries-Burger's | en_US |
dc.subject | Q-Homotopy Analysis Transform Method | en_US |
dc.subject | Liouville-Caputo | en_US |
dc.subject | Caputo-Fabrizio | en_US |
dc.subject | Atangana-Baleanu | en_US |
dc.title | New Fractional Derivatives Applied to the Korteweg-De Vries and Korteweg-De Vries-Burger's Equations | tr_TR |
dc.title | New Fractional Derivatives Applied To the Korteweg-De Vries and Korteweg-De Vries-burger's Equations | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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