Applications of homogenous balance principles combined with fractional calculus approach and separate variable method on investigating exact solutions to multidimensional fractional nonlinear PDEs
From MaRDI portal
Publication:6534629
DOI10.1155/2020/9101982zbMATH Open1544.35197MaRDI QIDQ6534629
Wei-Guo Rui, Shunli Zhang, Ruichao Ren
Publication date: 14 May 2021
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Exact solution of certain time fractional nonlinear partial differential equations
- 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
- 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
- Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
- Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM
- 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
- Extended \(F\)-expansion method and periodic wave solutions for the generalized Zakharov equations
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- MHD of a fractional viscoelastic fluid in a circular tube
- Scaling laws for fractional diffusion-wave equations with singular data
- Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
- On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations
- Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves
- Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
- Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
- A fractional model of continuum mechanics
- Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
- Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs
- 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
- Applications of fractional calculus in physics
- Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators
- Group-Invariant Solutions of Fractional Differential Equations
- Darboux Transformations and N -soliton Solutions of Two (2+1)-Dimensional Nonlinear Equations
Related Items (1)
This page was built for publication: Applications of homogenous balance principles combined with fractional calculus approach and separate variable method on investigating exact solutions to multidimensional fractional nonlinear PDEs