New Analytical Solutions of Conformable Time Fractional Bad and Good Modified Boussinesq Equations

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Tarih

2020

Dergi Başlığı

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Yayıncı

Walter De Gruyter Gmbh

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The main purpose of this article is to obtain the new solutions of fractional bad and good modified Boussinesq equations with the aid of auxiliary equation method, which can be considered as a model of shallow water waves. By using the conformable wave transform and chain rule, nonlinear fractional partial differential equations are converted into nonlinear ordinary differential equations. This is an important impact because both Caputo definition and Riemann-Liouville definition do not satisfy the chain rule. By using conformable fractional derivatives, reliable solutions can be achieved for conformable fractional partial differential equations.

Açıklama

Anahtar Kelimeler

bad and good modified Boussinesq equations, conformable fractional derivative, auxiliary equation method

Kaynak

Applied Mathematics and Nonlinear Sciences

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

5

Sayı

1

Künye