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
exact solutionsconformable fractional derivativeexpansion method\((2+1)\)-dimensional time-fractional biological population model\((3+1)\)-dimensional time-fractional KdV-Zakharov-Kuznetsov equation
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
- A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
- Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
- Analytical study of solitons to nonlinear time fractional parabolic equations
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- On conformable fractional calculus
- The \((G'/G,1/G)\)-expansion method and its application to travelling wave solutions of the Zakharov equations
- New structures for the space-time fractional simplified MCH and SRLW equations
- The modified Kudryashov method for solving some fractional-order nonlinear equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On a new class of fractional operators
- Auxiliary equation method for time-fractional differential equations with conformable derivative
- Simplest equation method for some time-fractional partial differential equations with conformable derivative
- Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations
- Fractional complex transform and exp-function methods for fractional differential equations
- A new definition of fractional derivative
- Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution
- Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
- Exponential rational function method for space–time fractional differential equations
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- An investigation of abundant traveling wave solutions of complex nonlinear evolution equations: The perturbed nonlinear Schrodinger equation and the cubic-quintic Ginzburg-Landau equation
- Exact solutions to the time-fractional differential equations via local fractional derivatives
- The improved F-expansion method with Riccati equation and its applications in mathematical physics
- New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
- Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology
This page was built for publication: Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method
