文章基本信息

标题：Local Fractional Integral Equations and Their Applications
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作者：Yang Xiao-Jun
期刊名称：Advances in Computer Science and its Applications
印刷版ISSN：2166-2924
出版年度：2012
卷号：1
期号：4
页码：234-239
语种：English
出版社：World Science Publisher
摘要：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.
关键词：Local fractional calculus;Volterra/ Fredholm integral equations;Nonlinear integral equations;Singular integral equations;Integro-differential equations