Invariant subspaces admitted by fractional differential equations with conformable derivatives
type: Item
instance of: scholarly article
title: Invariant subspaces admitted by fractional differential equations with conformable derivatives
zbMATH Open document ID: 1381.34014
author: Peng Zhang
published in: Chaos, Solitons and Fractals
publication date: 2018-02-20T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6841131
zbMATH Keywords: conformable derivative
zbMATH Keywords: conformable fractional Laplace transform
zbMATH Keywords: invariant subspace method
MaRDI profile type: Publication
full work available at URL: j.chaos.2018.01.002
OpenAlex ID: W2783239065
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q5699297
cites work: Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
cites work: Lie symmetry analysis of the time fractional KdV-type equation
cites work: Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
cites work: On the time fractional generalized Fisher equation: group similarities and analytical solutions
cites work: Analytical Lie group approach for solving fractional integro-differential equations
cites work: Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations
cites work: Construction of exact solutions for fractional order differential equations by the invariant subspace method
cites work: Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
cites work: Exact solution of certain time fractional nonlinear partial differential equations
cites work: Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
cites work: Fractional sub-equation method and its applications to nonlinear fractional PDEs
cites work: Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations
cites work: ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
cites work: Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method
cites work: A refined invariant subspace method and applications to evolution equations
cites work: Invariant subspaces and exact solutions of a class of dispersive evolution equations
cites work: A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
cites work: Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
cites work: Q4250595
cites work: Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
cites work: A new definition of fractional derivative
cites work: The first integral method for Wu-Zhang system with conformable time-fractional derivative
cites work: New exact solutions of Burgers’ type equations with conformable derivative
cites work: Existence and uniqueness theorems for sequential linear conformable fractional differential equations
cites work: Counterexamples on Jumarie's two basic fractional calculus formulae
cites work: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
cites work: On conformable fractional calculus
cites work: Q3413918
cites work: Lump solutions to the Kadomtsev-Petviashvili equation
cites work: A second Wronskian formulation of the Boussinesq equation
DOI: 10.1016/J.CHAOS.2018.01.002
description: scientific article; zbMATH DE number 6841131