Transformation Property of the Caputo Fractional Differential Operator in Two Dimensional Space
Mathematical Physics
2013-05-07 v1 math.MP
Abstract
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.
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Cite
@article{arxiv.1305.1264,
title = {Transformation Property of the Caputo Fractional Differential Operator in Two Dimensional Space},
author = {Ehab Malkawi},
journal= {arXiv preprint arXiv:1305.1264},
year = {2013}
}
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9 pages