ریاضیات

Abstract In this paper, we further develop Podlubny’s matrixapproach to discretization of integrals and derivativesof nonintegerorder. Numerical integration anddifferentiation on nonequidistantgrids is introducedand illustrated by several examples of numericalsolution of differential equations with fractionalderivatives of constant orders and with distributedorderderivatives. In this paper, for the first time, wepresent a variablesteplengthapproach that we call‘the method of large steps’, because it is applied incombination with the matrix approach for each ‘largestep’. This new ...

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