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Article
Local Fractional Integral Equations and Their Applications
Advances in Computer Science and its Applications (2012)
  • Yang Xiaojun
Abstract

This letter outlines the local fractional integral equations carried out by the local fractional calculus (LFC). We first introduce the local fractional calculus and its fractal geometrical explanation. We then investigate the local fractional Volterra/ Fredholm integral equations, local fractional nonlinear integral equations, local fractional singular integral equations and local fractional integro-differential equations. Finally, their applications of some integral equations to handle some differential equations with local fractional derivative and local fractional integral transforms in fractal space are discussed in detail.

Keywords
  • Local fractional calculus; Volterra/ Fredholm integral equations; Nonlinear integral equations; Singular integral equations; Integro-differential equations
Publication Date
2012
Publisher Statement
This paper is coprighted by the publisher
Citation Information
Yang Xiaojun. "Local Fractional Integral Equations and Their Applications" Advances in Computer Science and its Applications Vol. 1 Iss. 4 (2012)
Available at: http://works.bepress.com/yang_xiaojun/34/