Article ID Journal Published Year Pages File Type
389802 Fuzzy Sets and Systems 2015 23 Pages PDF
Abstract

We use a generalization of the Hukuhara difference for closed intervals on the real line to develop a theory of the fractional calculus for interval-valued functions. The properties of Riemann–Liouville fractional integral, Riemann–Liouville fractional derivative and Caputo fractional derivative for interval-valued functions are investigated. Several examples are presented to illustrate the concepts and results.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
Authors
,