1305.1264 (Ehab Malkawi)

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

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