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J. Math. Comput. Sci. 10 (2020), 2320–2326

On fractional vector analysis

M. Mhailan, M. Abu Hammad, M. Al Horani, R. Khalil

Abstract

In this paper, we introduce fractional vector operators: the gradient, the divergence and the curl operators. Further we discuss fractional line integral and prove a fractional form of Green’s Theorem, using conformable derivative.

Published
3 September 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 M. Mhailan, M. Abu Hammad, M. Al Horani, R. Khalil. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Mhailan, M. A. Hammad, M. A. Horani, R. Khalil, On fractional vector analysis, J. Math. Comput. Sci. 10 (2020), 2320–2326. https://doi.org/10.28919/jmcs/4863

BibTeX
@article{Mhailan2020,
  author  = {Mhailan, M. and Hammad, M. Abu and Horani, M. Al and Khalil, R.},
  title   = {On fractional vector analysis},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {2320--2326},
  doi     = {10.28919/jmcs/4863}
}