A New Glance on the Leibniz Rule for Fractional Derivatives
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
This paper proposes a new strategy to study some useful properties of growth rates of functions in C-alpha is an element of R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators are taken in the Riemann-Liouville sense. Moreover, stability analysis of the proposed strategy is investigated. The results demonstrate that the proposed theoretical analysis is accurate. (C) 2018 Elsevier B.V. All rights reserved.
Description
Tenreiro Machado, J. A./0000-0003-4274-4879
ORCID
Keywords
Fractional Calculus, Leibniz Rule, Mittag-Leffler Function, Riemann-Liouville, Fractional Derivative, Riemann-Liouville, Mittag-Leffler function, fractional derivative, Fractional ordinary differential equations, Variational principles of physics, fractional calculus, Leibniz rule
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Sayevand, K.; Machado, J. Tenreiro; Baleanu, D. "A new glance on the Leibniz rule for fractional derivatives", Communications In Nonlinear Science and Numerical Simulation, Vol. 62, pp. 244-249, (2018)
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
9
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
62
Issue
Start Page
244
End Page
249
PlumX Metrics
Citations
CrossRef : 6
Scopus : 11
Captures
Mendeley Readers : 14
SCOPUS™ Citations
11
checked on Feb 24, 2026
Web of Science™ Citations
9
checked on Feb 24, 2026
Page Views
3
checked on Feb 24, 2026
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