Tuesday, May 7, 2013

1305.1264 (Ehab Malkawi)

Transformation Property of the Caputo Fractional Differential Operator
in Two Dimensional Space

Ehab Malkawi
The transformation property of the Caputo fractional derivative operator of a scalar function under rotation in two dimensional space is derived. The study of the transformation property is essential for the formulation of fractional calculus in multi-dimensional space. The inclusion of fractional calculus in the Lagrangian and Hamiltonian dynamics relies on such transformation. An illustrative example is given.
View original: http://arxiv.org/abs/1305.1264

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