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Local Fractional Kernel Transform in Fractal Space and Its Applications
Advances in Computational Mathematics and its Applications (2012)
  • Yang Xiaojun
Abstract

In the present paper, we point out the local fractional kernel transform based on local fractional calculus (FLC), and its applications to the Yang-Fourier transform, the Yang-Laplace transform, the local fractional Z transform, the local fractional Stieltjes transform, the local fractional volterra/ Fredholm integral equations, the local fractional volterra/ Fredholm integro-differential equations, the local fractional variational iteration algorithms, the local fractional variational iteration algorithms with an auxiliary fractal parameter, the modified local fractional variational iteration algorithms, and the modified local fractional variational iteration algorithms with an auxiliary fractal parameter.

Keywords
  • Fractal space; Local fractional calculus; Local fractional kernel transform; Non-differentiable functions; Local fractional volterra/ Fredholm integral/integro-differential equations; Local fractional variational iteration algorithms
Publication Date
2012
Publisher Statement
This paper is coprighted by the WSP.
Citation Information
X.J.Yang, Local Fractional Kernel Transform in Fractal Space and Its Applications, Advances in Computational Mathematics and its Applications, 2(1) (2012) 86-93.