Fractional Differences and Integration by Parts
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Date
2011
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Publisher
Eudoxus Press, Llc
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Abstract
In this paper we define the right fractional sum and difference following the delta time scale calculus and obtain results on them analogous to those obtained for the left ones studied in [6], [7], [8]. In addition of that a formula for the integration by parts was obtained. The obtained formula is used to obtain a discrete Euler-Lagrange equation in fractional calculus.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Left Fractional Sum, Right Fractional Sum, Left And Right Fractional Differences, Integration By Parts, Euler-Lagrange Equation
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Citation
Abdeljawad, T., Baleanu, D. (2011). Fractional differences and integration by parts. Journal of Computational Analysis and Application, 13(3), 574-582.
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Q4
Source
Journal of Computational Analysis and Applications
Volume
13
Issue
3
Start Page
574
End Page
582
