The paper presents an approximation method called local fractional variational iteration method (LFVIM) for solving the linear and nonlinear Volterra integral equations of the second kind with local fractional derivative operators. Some illustrative examples are discussed to demonstrate the efficiency and the accuracy of the proposed method. Furthermore, this method does not require spatial discretization or restrictive assumptions and therefore reduces the numerical computation significantly. The results reveal that the local fractional variational iteration method is very effective and convenient to solve linear and nonlinear integral equations within local fractional derivative operators.
Jassim, Hassan K.
A Novel Approach for Solving Volterra Integral Equations Involving Local Fractional Operator,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
1, Article 32.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/32