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Some remarks on geometry of fractional calculus


Citation

Saleh, Wedad and Kilicman, Adem (2015) Some remarks on geometry of fractional calculus. Applied Mathematics & Information Sciences, 9 (3). pp. 1265-1272. ISSN 1935-0090; ESSN: 2325-0399

Abstract

In recent years, researchers interested in the field of fractals and related subjects have also begun using the concept of fractional calculus in some of their investigations. In this paper, some interesting aspects and features of fractional connection derivatives in differential manifold were discussed. In particular, transformation of Christoffel symbols for fractional connection, the torsion tensor of a fractional connection, and difference tensor of two fractional connection are presented.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Natural Sciences Publishing
Keywords: Fractional geometrical objects; Fractional manifold; Revised Riemann-Liouville fractional calculus on manifolds
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 09:21
Last Modified: 27 Oct 2017 01:49
URI: http://psasir.upm.edu.my/id/eprint/51928
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