• Corpus ID: 119314127

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

@article{Malkawi2013TransformationPO,
  title={Transformation Property of the Caputo Fractional Differential Operator in Two Dimensional Space},
  author={Ehab Malkawi},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
  • E. Malkawi
  • Published 6 May 2013
  • Mathematics
  • arXiv: Mathematical Physics
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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