• 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. 
View PDF on arXiv

References

SHOWING 1-5 OF 5 REFERENCES

Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

Fractional Calculus: An Introduction For Physicists, by Richard Herrmann

dence beyond reasonable doubt that such an interventionist God does not exist. The premise of Stenger’s argument is that he only needs to demonstrate that ‘there is a plausible explanation within…

An Introduction to the Fractional Calculus and Fractional Differential Equations

Historical Survey The Modern Approach The Riemann-Liouville Fractional Integral The Riemann-Liouville Fractional Calculus Fractional Differential Equations Further Results Associated with Fractional…

Transformation of Fractional Derivatives Under Space Rotation

  • By Ehab Malkawi and Akram A. Rousan. Published in International Journal of Applied Mathematics
  • 2004

Volume 16 No

  • 2, 175-185,
  • 2004