On Riemann and Caputo Fractional Differences
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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No
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Top 1%
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Top 0.1%
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Abstract
In this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe P. W., Abdeljawad T. and Baleanu D., and a few others. Also, the discrete version of the Q-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions. (C) 2011 Elsevier Ltd. All rights reserved.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Left Fractional Sum, Right Fractional Sum, Caputo Left And Right Fractional Differences, Left And Right Riemann Differences, Discrete Mittag-Leffler Function, Computational Mathematics, Right fractional sum, Left and right Riemann differences, Computational Theory and Mathematics, Caputo left and right fractional differences, Modelling and Simulation, Left fractional sum, Discrete Mittag-Leffler function, discrete Mittag-Leffler function, left fractional sum, left and right Riemann differences, Fractional ordinary differential equations, Fractional derivatives and integrals, right fractional sum
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Abdeljawad, T. (2011). On Riemann and Caputo fractional differences. Computers&Mathematics With Applications, 62(3), 1602-1611. http://dx.doi.org/10.1016/j.camwa.2011.03.036
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
552
Source
Computers & Mathematics with Applications
Volume
62
Issue
3
Start Page
1602
End Page
1611
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CrossRef : 126
Scopus : 680
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