A New Adomian Decomposition Procedure Scheme for Solving Local Fractional Volterra Integral Equation

Yang Xiao-Jun, Yudong Zhang


This work points out a new Adomian decomposition procedure for processing the fractional Volterra integral equation. The fractional integral operator is described in local fractional operator. The theory of local fractional integrals and differential operators has been dealt with continuously non-differentiable functions on the cantor set and, and has been successfully applied in engineering problems. The new scheme maintains the efficiency and accuracy of the analytic method for solving local fractional integral equations. An illustrative example is given to show the accuracy and reliable results.


Adomain decomposition method; Local fractional operator; Local fractional Volterra integral equation; Non-differentiable functions; Cantor set

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