Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
type: Item
instance of: scholarly article
title: Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
zbMATH Open document ID: 1470.35418
DOI: 10.1155/2014/395710
author: Aimin Yang
author: Cheng Zhang
author: Hossein Jafari
author: Carlo Cattani
author: Ying Jiao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The Fourier law of one-dimensional heat conduction equation in fractal media is investigated in this paper. An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from the transformation of Fourier flux equation in discontinuous media, is considered. The Picard successive approximation method is applied to solve the temperature field based on the given Mittag-Leffler-type Fourier flux distribution in fractal media. The nondifferential approximate solutions are given to show the efficiency of the present method.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 80A19
zbMATH DE Number: 7022305
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/395710
OpenAlex ID: W2138552484
Wikidata QID: Q59037266
cites work: Q5783502
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description: scientific article; zbMATH DE number 7022305