Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
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Publication:307323
DOI10.1186/1687-1847-2014-286zbMath1346.35211OpenAlexW2161158191WikidataQ59320036 ScholiaQ59320036MaRDI QIDQ307323
Publication date: 1 September 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2014-286
fractional calculusJacobi elliptic functionsfractional complex transformationnonlinear fractional differential equationsmodified Riemann-Liouville derivative
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Cites Work
- Unnamed Item
- Fractional variational iteration method and its application
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- Exact solutions for the transformed reduced Ostrovsky equation via the \(F\)-expansion method in terms of Weierstrass-elliptic and Jacobian-elliptic functions
- A fractional characteristic method for solving fractional partial differential equations
- The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
- Non-differentiable variational principles
- Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations
- Fractional complex transform for fractional differential equations
- Fractional calculus -- a new approach to the analysis of generalized fourth-order diffusion-wave equations
- Numerical studies for a multi-order fractional differential equation
- Application of generalized differential transform method to multi-order fractional differential equations
- Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
- Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Exp-function method for fractional differential equations
- New exact Jacobi elliptic function solutions for the coupled Schrödinger-Boussinesq equations
- Approximate solution to the time-space fractional cubic nonlinear Schrödinger equation
- New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients
- New exact solutions for the generalized variable-coefficient Gardner equation with forcing term
- Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order
- Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations
- MULTISCALE STATISTICAL MODEL OF FULLY-DEVELOPED TURBULENCE PARTICLE ACCELERATIONS
- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
- Local Fractional Fokker-Planck Equation
- A fractional calculus of variations for multiple integrals with application to vibrating string
- Model equations for long waves in nonlinear dispersive systems
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