Abstract
In the paper we present a numerical method to solve sequential fractional differential equation (SFDE) with Caputo derivatives of order in the range (0,1] in sequential sense. The proposed scheme is a new variant of predictor — corrector method. Predictor is received by calculating the integrals of integral equation using rectangle method. To determine the corrector we use alternately two methods to calculate the integrals: Simpson's rule or trapezoidal rule depending on an odd or even number of nodes in the integration interval. In the final part, examples of numerical results are discussed.
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