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In this paper, we introduced a new generalization method to solve fractional convection-diffusion equations based on the well-known variational iteration method (VIM) improved by an auxiliary parameter. The suggested method was highly effective in controlling the convergence region of the approximate solution. By solving some fractional convection-diffusion equations with a propounded method and comparing it with standard VIM, it was concluded that complete reliability, efficiency, and accuracydoi:10.3390/math5020026 fatcat:znl6ysk3orehlc3zg4qdpq5vcm