Abstract
In this article, a step-by-step collocation technique based on the Jacobi polynomials is considered to solve a class of neutral delay fractional stochastic differential equations (NDFSDEs). First, we convert the NDFSDE into a non-delay equation by applying a stepby-step method. Then, by using a Jacobi collocation technique in each step, a non-delay nonlinear system is obtained. The convergence analysis of this numerical technique is discussed. Finally, several examples are implemented to confirm the efficiency and effectiveness of the proposed method. (c) 2021 Elsevier B.V. All rights reserved.