The approximate solutions of three-dimensional diffusion and wave equations within local fractional derivative operator

DOI10.1155/2016/2913539zbMath1470.35395OpenAlexW2544259110WikidataQ59121516 ScholiaQ59121516MaRDI QIDQ1669218

Hassan Kamil Jassim

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2913539

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (4)

An efficient computational technique for local fractional Fokker Planck equation ⋮ Unnamed Item ⋮ Fractal dynamics and computational analysis of local fractional Poisson equations arising in electrostatics ⋮ ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE

Cites Work

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• Local fractional similarity solution for the diffusion equation defined on Cantor sets
• A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Local fractional function decomposition method for solving inhomogeneous wave equations with local fractional derivative
• Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators
• Local fractional functional method for solving diffusion equations on Cantor sets
• Local fractional series expansion method for solving wave and diffusion equations on Cantor sets
• Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantor-type cylindrical coordinates
• Fractional calculus for nanoscale flow and heat transfer

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