Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

Abstract EN

We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh’s extension principle.

The proposed study extends the case of fuzzy differential equations of integer order.

We also propose a numerical method to approximate the solution of FFDEs.

To solve nonlinear problems, the proposed numerical method is then incorporated into an unconstrained optimisation technique.

Several numerical examples are provided.