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- Title
Local Fractional Fourier Series Solutions for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative.
- Authors
Ai-Min Yang; Cattani, Carlo; Ce Zhang; Gong-Nan Xie; Xiao-Jun Yang
- Abstract
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat equations arising in fractal heat flow are discussed. The local fractional Fourier series solutions for one-dimensional nonhomogeneous heat equations are obtained. The nondifferentiable series solutions are given to show the efficiency and implementation of the present method.
- Subjects
FOURIER series; HEAT equation; FRACTIONAL calculus; FRACTALS; HEAT transfer; MATHEMATICAL models of thermodynamics
- Publication
Advances in Mechanical Engineering (Sage Publications Inc.), 2014, p1
- ISSN
1687-8132
- Publication type
Article
- DOI
10.1155/2014/514639