A note on the fractional generalized higher order KdV equation

DOI10.1155/2018/7035194zbMath1404.35387OpenAlexW2888157777MaRDI QIDQ1796307

Yongyi Gu

Publication date: 17 October 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7035194

zbMATH Keywords

Riemann-Liouville derivativehigher order Korteweg-de Vries (KdV) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (1)

Searching for analytical solutions of the \((2+1)\)-dimensional KP equation by two different systematic methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques
• Multiple solutions for impulsive problems with non-autonomous perturbations
• Infinitely many sign-changing solutions for a Schrödinger equation
• Global existence and blow-up phenomena for \(p\)-Laplacian heat equation with inhomogeneous Neumann boundary conditions
• On a sign-changing solution for some fractional differential equations
• Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
• Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
• Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects
• Blow-up of solution for a nonlinear Petrovsky type equation with memory
• Positive solutions for second order impulsive differential equations with integral boundary conditions
• Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
• A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions
• Positive solutions to singular fractional differential system with coupled boundary conditions
• On positive solutions of an \(m\)-point nonhomogeneous singular boundary value problem
• Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Interval oscillation criteria for second-order nonlinear forced differential equations involving variable exponent
• Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods
• Multiple positive solutions for a system of impulsive integral boundary value problems with sign-changing nonlinearities
• Oscillation criteria for fractional differential equations with mixed nonlinearities
• Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
• Exact solutions of the Vakhnenko-Parkes equation with complex method
• Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices
• Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian
• Positive solution for singular fractional differential equations involving derivatives
• Some classes of equations of discrete type with harmonic singular operator and convolution
• On the existence of solutions for impulsive fractional differential equations
• Traveling wave solutions of space-time fractional generalized fifth-order KdV equation
• Finite time blow-up for a class of parabolic or pseudo-parabolic equations
• Positive solution for a fractional singular boundary value problem with \(p\)-Laplacian operator
• The general traveling wave solutions of the Fisher equation with degree three
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Meromorphic solutions of an auxiliary ordinary differential equation using complex method
• Solvability of boundary-value problems for nonlinear fractional differential equations
• NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• Elliptic General Analytic Solutions
• Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method
• The representation of meromorphic solutions to certain ordinary differential equations and its applications
• Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces
• Positive solutions of an infinite boundary value problem for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces
• Meromorphic solutions of nonlinear ordinary differential equations
• Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
• Some new weakly singular integral inequalities and their applications to fractional differential equations

This page was built for publication: A note on the fractional generalized higher order KdV equation