Abstract
Abstract In this paper, a new numerical method based on the Bernoulli wavelet approximation is presented for the solution of fractional order Volterra integro-differential equations. The operational matrix of fractional derivative of order λ in the Caputo sense derived together with the Gaussian quadrature rule implemented to reduce the Volterra integro-differential equations to system of algebraic equations. Convergence analysis and error estimation of the proposed method have been discussed. The efficiency and accuracy of the proposed method have been depicted through some illustrative examples.
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