Soft Numerical Computing in Uncertain Dynamic Systems

Chapter 6: Numerical solutions of uncertain fractional differential equations

Abstract

The objectives for this chapter are introducing the Caputo fractional derivative on the fuzzy number valued functions and fuzzy fractional differential equations under this Caputo operator. After showing the existence and uniqueness of the fuzzy solution, the fuzzy Taylor method will be illustrated, and its consequence as the fuzzy fractional Euler method will be applied as numerical methods to solve the fuzzy fractional differential equations. To define the Caputo fractional operator, the Riemann-Liouville fractional operator should be defined first.

Keywords

Caputo fractional derivative operator; Riemann-Liouville fractional derivative operator; Fuzzy ...