Fractional calculus for interval-valued functions

Vasile Lupulescu

doi:10.1016/j.fss.2014.04.005

2015-04-01

180

PRE

Vasile Lupulescu *

DOI：10.1016/j.fss.2014.04.005

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摘要

En 中文

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.

Keyword:

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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期刊

Fuzzy Sets and Systems

IF:

2.7

论文数:

7.6K

被引数:

1.5W

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