A new class of travelling wave solutions for local fractional diffusion differential equations

DOI10.1186/s13662-020-2500-yzbMath1482.35256OpenAlexW3032608713MaRDI QIDQ2057440

Wei Qi, Jing Fan, Ziyue Shi

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-2500-y

zbMATH Keywords

traveling wavelocal fractional derivativetime-space fractional diffusion equationCantor-type cylindrical coordinate

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

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Cites Work

• Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
• Local fractional similarity solution for the diffusion equation defined on Cantor sets
• Fractional control of heat diffusion systems
• Time-fractional radial diffusion in a sphere
• Some aspects of fractional diffusion equations of single and distributed order
• The Wright functions as solutions of the time-fractional diffusion equation.
• A fractional diffusion equation to describe Lévy flights
• On the accurate discretization of a highly nonlinear boundary value problem
• A new fractional modelling and control strategy for the outbreak of dengue fever
• Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation
• An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
• A second-order accurate numerical approximation for the fractional diffusion equation
• A lattice Boltzmann equation for diffusion
• Maximum principle for the generalized time-fractional diffusion equation
• Fractional calculus for nanoscale flow and heat transfer
• Analytical solution of time-fractional Navierâ Stokes equation in polar coordinate by homotopy perturbation method
• Fractional radial diffusion in an infinite medium with a cylindrical cavity
• The fractional diffusion equation
• A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
• New aspects of fractional Biswas–Milovic model with Mittag-Leffler law
• Static-kinematic duality and the principle of virtual work in the mechanics of fractal media