Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation
From MaRDI portal
Publication:5104321
DOI10.1080/17455030.2018.1534029zbMath1504.35632OpenAlexW2913141978MaRDI QIDQ5104321
Zhilei Niu, Pengcheng Xiao, Ying Wang, Xuan Zhou, Wen-Rui Shan
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1534029
similarity reductionpower series solutionErdélyi-Kober operatorfractional Riemann-Liouville derivativeIbragimov method
Geometric theory, characteristics, transformations in context of PDEs (35A30) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- 1-soliton solution of the nonlinear Schrödinger's equation with Kerr law nonlinearity using Lie symmetry analysis
- A new conservation theorem
- Constructing conservation laws for fractional-order integro-differential equations
- Fractional system identification for lead acid battery state of charge estimation
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- Fractals and fractional calculus in continuum mechanics
- Recent applications of fractional calculus to science and engineering
- The homotopy analysis method applied to the Kolmogorov-Petrovskii-Piskunov (KPP) and fractional KPP equations
- Fractional complex transform and exp-function methods for fractional differential equations
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- Exact solutions of space-time fractional EW and modified EW equations
- Noether-type symmetries and conservation laws via partial Lagrangians
- Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
- Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis
- New Trends in Nanotechnology and Fractional Calculus Applications
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Invariant variation problems
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation
