A novel technique for solving fuzzy differential equations of fractional order using Laplace and integral transforms

摘要

In this paper, we propose a novel approach for the numerical solution of fuzzy fractional differential equations (FFDEs) under fuzzy Caputo-type derivative. More specifically, we first obtain the equivalent integral form of original problem, then the fractional integral equation is approximated using Laplace transforms. Afterwards, we can get the solution by employing any numerical method. Indeed, the proposed approach introduces an efficient and practical way to solve a wide range of fractional models under uncertainty. The most important advantage of this procedure is that the complexity of dealing with the fractional derivative is removed from the calculations, which can reduce the computational costs, considerably. Illustrative examples address the validity and appropriateness of this technique.