Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models
From MaRDI portal
Publication:6180823
DOI10.1002/mma.8866OpenAlexW4309082700MaRDI QIDQ6180823
Unnamed Author, Rui Weiguo, Jiafa Xu
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8866
exact solutiontime-fractional reaction-diffusion equationsapproach of dynamical systemexistence and dynamical property of solutionmethod of separated variables
Related Items (1)
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
- Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
- Fractional complex transform for fractional differential equations
- 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
- Terminal value problems for the nonlinear systems of fractional differential equations
- 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
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Travelling waves and finite propagation in a reaction-diffusion equation
- Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations.
- Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
- Bifurcations of travelling wave solutions for the generalized Kadomtsev-Petviashvili equation
- 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
- An inverse problem approach to determine possible memory length of fractional differential equations
- 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
- Intermediate value problems for fractional differential equations
- Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations
- 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
- BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS
This page was built for publication: Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models