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Heat‐conduction in a semi‐infinite fractal bar using advanced Yang‐Fourier transforms - MaRDI portal

Heat‐conduction in a semi‐infinite fractal bar using advanced Yang‐Fourier transforms (Q6180832)

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scientific article; zbMATH DE number 7782142

Language	Label	Description	Also known as
English	Heat‐conduction in a semi‐infinite fractal bar using advanced Yang‐Fourier transforms	scientific article; zbMATH DE number 7782142

Statements

scholarly article

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Heat‐conduction in a semi‐infinite fractal bar using advanced Yang‐Fourier transforms (English)

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Mohd. Farman Ali

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Mathematical Methods in the Applied Sciences

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publication date

2 January 2024

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zbMATH Keywords

fractal bar

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heat-conduction equation

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local fractional calculus and special function

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Yang-Fourier transforms

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MaRDI profile type

MaRDI publication profile

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Fractals and fractional calculus in continuum mechanics

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A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials

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Variational iteration method for fractional calculus -- a universal approach by Laplace transform

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Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method

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Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method

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Local Fractional Fokker-Planck Equation

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Time-space fabric underlying anomalous diffusion

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Fractal derivative model for air permeability in hierarchic porous media

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Probability calculus of fractional order and fractional Taylor's series application to Fokker-Planck equation and information of non-random functions

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Diffusion problems in fractal media defined on Cantor sets

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Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

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One-phase problems for discontinuous heat transfer in fractal media

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A local fractional variational iteration method for Laplace equation within local fractional operators

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Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method

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Local fractional Fourier series with application to wave equation in fractal vibrating string

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Asymptotic methods for solitary solutions and compactons

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Existence theorems for solvability of a functional equation arising in dynamic programming

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Identifiers

10.1002/mma.8875

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6180832

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