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Approximation; Non-homogeneous local fractional Valterra equation; Local fractional operator; local fractional calculus
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A New Successive Approximation To Non-Homogeneous Local Fractional Volterra Equation, Yang Xiaojun
A New Successive Approximation To Non-Homogeneous Local Fractional Volterra Equation, Yang Xiaojun
Xiao-Jun Yang
A new successive approximation approach to the non-homogeneous local fractional Valterra equation derived from local fractional calculus is proposed in this paper. The Valterra equation is described in local fractional integral operator. The theory of local fractional derivative and integration is one of useful tools to handle the fractal and continuously non-differentiable functions, was successfully applied in engineering problem. We investigate an efficient example of handling a non-homogeneous local fractional Valterra equation.