Discrete Fractional Calculus for Interval-Valued Systems
Loading...
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
This study investigates linear fractional difference equations with respect to interval-valued functions. Caputo and Riemann-Liouville differences are defined. w-monotonicity is introduced and discrete Leibniz integral laws are provided. Then exact solutions of two linear equations are obtained by Picard's iteration. In comparison with the deterministic initial problems, the solutions are given in discrete Mittag-Leffler functions with and without delay, respectively. This paper provides a novel tool to understand fractional uncertainty problems on discrete time domains. (C) 2020 Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Fractional Difference Equations, Interval-Valued Functions, Discrete Fractional Calculus, fractional difference equations, Fractional derivatives and integrals, Difference equations, scaling (\(q\)-differences), Fuzzy real analysis, interval-valued functions, discrete fractional calculus
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Huang, Lan-Lan...et al. (2021). "Discrete fractional calculus for interval-valued systems", Fuzzy Sets and Systems, Vol. 404, pp. 141-158.
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
63
Source
Fuzzy Sets and Systems
Volume
404
Issue
Start Page
141
End Page
158
PlumX Metrics
Citations
CrossRef : 65
Scopus : 73
Captures
Mendeley Readers : 6
SCOPUS™ Citations
75
checked on Feb 26, 2026
Web of Science™ Citations
67
checked on Feb 26, 2026
Page Views
3
checked on Feb 26, 2026
Google Scholar™
