Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method

DOI10.1186/s13662-018-1814-5zbMath1448.35537OpenAlexW2896010264MaRDI QIDQ1716075

Altaf A. Al-Shawba, Amirah Azmi, Khaled A. Gepreel, Farah Aini Abdullah

Publication date: 29 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1814-5

zbMATH Keywords

exact solutionsconformable fractional derivativeexpansion method\((2+1)\)-dimensional time-fractional biological population model\((3+1)\)-dimensional time-fractional KdV-Zakharov-Kuznetsov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (6)

An extension of the double \((G'/G,1/G)\)-expansion method for conformable fractional differential equations ⋮ Exact solutions for the conformable space-time fractional Zeldovich equation with time-dependent coefficients ⋮ Existence of series solutions for certain nonlinear systems of time fractional partial differential equations ⋮ Various exact solutions for the conformable time-fractional generalized FitzHugh-Nagumo equation with time-dependent coefficients ⋮ Reliable methods to study some nonlinear conformable systems in shallow water ⋮ Optical soliton solutions to the \((2+1)\)-dimensional Chaffee-Infante equation and the dimensionless form of the Zakharov equation

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