An efficient computational technique for local fractional heat conduction equations in fractal media

DOI10.22436/JNSA.010.04.17zbMath1412.35374OpenAlexW2604980127MaRDI QIDQ4631030

Jagdev Singh, Xiao-Jun Yang, Sushila Rathore, Devendra Kumar, Duan Zhao

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.17

zbMATH Keywords

fractal mediaheat conduction equationlocal fractional derivativelocal fractional homotopy perturbation methodlocal fractional Sumudu transform method

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) 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 Adomian decomposition and function decomposition methods for Laplace equation within local fractional operators
• Conceptions for heat transfer correlation of nanofluids
• Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
• Local fractional Sumudu transform with application to IVPs on Cantor sets
• Analytical investigations of the Sudumu transform and applications to integral production equations
• Homotopy perturbation technique
• Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations
• Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems

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