Fractional Differences and Integration by Parts

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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

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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Volume

13

Issue

3

Start Page

574

End Page

582
SCOPUS™ Citations

138

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Web of Science™ Citations

128

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5

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