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

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...

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences 2020-01, Vol.5 (1), p.447-454
Main Authors: Durur, Hülya, Tasbozan, Orkun, Kurt, Ali
Format: Article
Language:English
Subjects:
26A33
auxiliary equation method
bad and good modified Boussinesq equations
conformable fractional derivative
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Summary: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.
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.1.00042