Separation variable method combined with integral bifurcation method for solving time-fractional reaction-diffusion models
From MaRDI portal
Publication:1983791
DOI10.1007/s40314-020-01346-wzbMath1476.35316OpenAlexW3093773791MaRDI QIDQ1983791
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01346-w
exact solutionintegral bifurcation methodhomogenous balanced principleseparation variable methodtime-fractional reaction-diffusion model
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Related Items (4)
Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations ⋮ Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs ⋮ Classification of all single traveling wave solutions of fractional coupled Boussinesq equations via the complete discrimination system method ⋮ Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Exact solution of certain time fractional nonlinear partial differential equations
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Fractional variational iteration method and its application
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Controllability for a class of fractional-order neutral evolution control systems
- Fractional Fourier transform as a signal processing tool: an overview of recent developments
- Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
- Fractional complex transform for fractional differential equations
- Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative
- Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel
- A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
- Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
- The integral bifurcation method and its application for solving a family of third-order dispersive PDEs
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- MHD of a fractional viscoelastic fluid in a circular tube
- Travelling waves and finite propagation in a reaction-diffusion equation
- Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations.
- Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model.
- Scaling laws for fractional diffusion-wave equations with singular data
- Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
- A new computational approach for solving nonlinear local fractional PDEs
- Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
- Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs
- Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs
- A new fractional operator of variable order: application in the description of anomalous diffusion
- On chain rule for fractional derivatives
- Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations
- Macroeconomic models with long dynamic memory: fractional calculus approach
- Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
- Exact Solutions of Fractional-Order Biological Population Model
- A space‐time spectral collocation method for the 2‐dimensional nonlinear Riesz space fractional diffusion equations
- Relations Between Gabor Transforms and Fractional Fourier Transforms and Their Applications for Signal Processing
This page was built for publication: Separation variable method combined with integral bifurcation method for solving time-fractional reaction-diffusion models
