Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

摘要

We study a fuzzy fractional differential equation (FFDE) andpresent its solution using Zadeh’s extension principle. The proposed study extends thecase of fuzzy differential equations of integer order. We also propose a numerical methodto approximate the solution of FFDEs. To solve nonlinear problems, the proposednumerical method is then incorporated into an unconstrained optimisation technique. Severalnumerical examples are provided.