Abstract
We show, using invariant subspace method, how to derive exact solutions to the time fractional Korteweg-de Vries (KdV) equation, potential KdV equation with absorption term, KdV-Burgers equation and a time fractional partial differential equation with quadratic nonlinearity. Also we extend the invariant subspace method to nonlinear time fractional differential-difference equations and derive exact solutions of the time fractional discrete KdV and Toda lattice equations.
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Articles in the same Issue
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Articles in the same Issue
- FCAA Related News, Events and Books (FCAA-Volume 18-1-2015)
- Electrolytic Fractional Derivative and Integral of Two-Terminal Element
- Initial Value Problem of Fractional Integro-Differential Equations in Banach Space
- Examples of Analytical Solutions by Means of Mittag-Leffler Function of Fractional Black-Scholes Option Pricing Equation
- Multiple Solutions for a Class of Fractional Hamiltonian Systems
- Some Analytical and Numerical Properties of the Mittag-Leffler Functions
- Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
- Systems of Nonlinear Fractional Differential Equations
- Existence and Multiplicity of Solutions for Nonlinear Elliptic Problems with the Fractional Laplacian
- Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations
- Filippov Lemma for a Class of Hadamard-Type Fractional Differential Inclusions
- New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses
- Several Results of Fractional Derivatives in Dʹ(R+)
- Modeling Extreme-Event Precursors with the Fractional Diffusion Equation
- Multiplicity Results for Integral Boundary Value Problems of Fractional Order with Parametric Dependence
- Improvements on Flat Output Characterization for Fractional Systems
- Nonlocal Fractional Boundary Value Problems with Slit-Strips Boundary Conditions
- Remarks to the Paper “On the Existence of Blow UP Solutions for a Class of Fractional Differential Equations” by Z. Bai et al., In “FCAA”, VOL. 17, NO 4 (2014), 1175-1187