Some Remarks on Geometry of Fractional Calculus

Authors

Wedad Saleh, Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
Adem Kılıçman, Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow

Author Country (or Countries)

Malaysia

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.

Recommended Citation

Saleh, Wedad and Kılıçman, Adem (2015) "Some Remarks on Geometry of Fractional Calculus," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/20