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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| Published in: | Applied mathematics and nonlinear sciences Vol. 5; no. 1; pp. 447 - 454 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Beirut
Sciendo
01.01.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services |
| Subjects: | |
| ISSN: | 2444-8656, 2444-8656 |
| Online Access: | Get full text |
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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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2444-8656 2444-8656 |
| DOI: | 10.2478/amns.2020.1.00042 |