Journal
FUZZY SETS AND SYSTEMS
Volume 265, Issue -, Pages 63-85Publisher
ELSEVIER
DOI: 10.1016/j.fss.2014.04.005
Keywords
Interval-valued function; Generalized Hukuhara derivative; Interval-valued Riemann-Liouville fractional integral; Interval-valued Riemann-Liouville fractional derivative; Interval-valued Caputo fractional derivative
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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. (C) 2014 Elsevier B.V. All rights reserved.
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