Local Fractional Integral Equations and Their Applications

Yang Xiao-Jun

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

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