Paper Info
Title
Fractional calculus for interval-valued functions.
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.
Year
DOI
Venue
2015
10.1016/j.fss.2014.04.005
Fuzzy Sets and Systems
Keywords
Field
DocType
Interval-valued function,Generalized Hukuhara derivative,Interval-valued Riemann–Liouville fractional integral,Interval-valued Riemann–Liouville fractional derivative,Interval-valued Caputo fractional derivative
Applied mathematics,Discrete mathematics,Generalizations of the derivative,Real line,Fractional calculus,Riemann–Liouville integral,Mathematics,Calculus
Journal
Volume
ISSN
Citations 
265
0165-0114
11
PageRank 
References 
Authors
0.62
22
1
Name
Order
Citations
PageRank
Vasile Lupulescu11048.17