A numerical algorithm for solving non-homogeneous fuzzy differential equations of fractional order

摘要

In this research, we propose a new technique for solving fuzzy fractional differential equations of order 0 < α < 1. In this regard, fractional Laguerre polynomials (FLP) are employed to approximate the solution, then, the corresponding operational matrix is derived. Next, the fuzzy-like residual function of the original problem is obtained and finally the unknown fuzzy coefficients are achieved to get the approximate solution under uncertainty. The algorithm is validated by solving a test problem.