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Local Fractional Functional Analysis and Its Applications
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The article was published on 2011-01-01 and is currently open access. It has received 228 citations till now. The article focuses on the topics: Fractional calculus.read more
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Journal ArticleDOI
A Review of Definitions for Fractional Derivatives and Integral
TL;DR: The authors presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering, and presents a discussion of the relationship between fractional derivatives and integral derivatives.
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Fractal heat conduction problem solved by local fractional variation iteration method
Xiao-Jun Yang,Dumitru Baleanu +1 more
TL;DR: In this article, a local fractional variational iteration method for processing the local heat conduction equation arising in fractal heat transfer is presented. But the method is not suitable for the case of large-scale heat transfer.
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Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
TL;DR: In this article, the authors propose to use the Cantor-type cylindrical coordinate method in order to investigate a family of local fractional differential operators on a Cantor set and some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a CCC and the damped wave equation in fractal strings.
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Systems of Navier-Stokes equations on Cantor sets
TL;DR: In this article, the results for Navier-Stokes equations in a fractal bounded domain are shown to be efficient and accurate for describing fluid flow in fractal media, where the local fractional vector calculus is used.