The well-posedness and exact solution of fractional magnetohydrodynamic equations

DOI10.1007/s00033-021-01483-0zbMath1464.76212OpenAlexW3133680408MaRDI QIDQ2026473

Yanyan Li

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01483-0

zbMATH Keywords

existenceconformable fractional derivativegeneralized Riccati equation method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

A mixed nonlinear time-fractional Rayleigh-Stokes equation

Cites Work

• Unnamed Item
• Unnamed Item
• Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas
• Fractional Newton mechanics with conformable fractional derivative
• New exact kink solutions and periodic form solutions for a generalized Zakharov-Kuznetsov equation with variable coefficients
• Remarks on fractional derivatives
• Exact solutions of second grade aligned MHD fluid with prescribed vorticity
• On the Euler equations of incompressible perfect fluids
• Invariant subspaces admitted by fractional differential equations with conformable derivatives
• Simplest equation method for some time-fractional partial differential equations with conformable derivative
• Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions
• Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
• Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation
• A new definition of fractional derivative
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
• Nonlinear stability of fluid and plasma equilibria
• Global Strong Solution with Vacuum to the Two Dimensional Density-dependent Navier--Stokes System
• Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms
• Conformable variational iteration method, conformable fractional reduced differential transform method and conformable homotopy analysis method for non-linear fractional partial differential equations
• Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
• A 3D‐2D asymptotic analysis of viscoelastic problem with nonlinear dissipative and source terms
• Advances in Fractional Calculus

This page was built for publication: The well-posedness and exact solution of fractional magnetohydrodynamic equations