Article
A Review on Local and Non-Local Fractal Calculus
Authors
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Abstract
In this paper, we review local and non-local fractal derivatives. Fractal calculus is formulated for the cases of functions supported on fractal Cantor-like sets, fractal curves, and fractal Cantor tartan. Scale properties of the suggested fractal functions and derivatives are given. Some examples and graphs are given for more details.
Keywords
Local fractal derivatives, non-local fractal derivative, fractal calculus, F α -calculus.
Citation
Golmankhaneh, A. K., Tunc, C., Nia, S. M., & Golmankhaneh, A. K. (2019). A review on local and non-local fractal calculus. Numerical and Computational Methods in Sciences and Engineering, 1(1), 19–31. https://doi.org/10.18576/ncmse/010103
A. K. Golmankhaneh, C. Tunc, S. M. Nia and A. K. Golmankhaneh, “A review on local and non-local fractal calculus,” Numerical and Computational Methods in Sciences and Engineering, vol. 1, no. 1, pp. 19–31, 2019, doi: 10.18576/ncmse/010103.
Golmankhaneh AK, Tunc C, Nia SM, Golmankhaneh AK. A review on local and non-local fractal calculus. Numerical and Computational Methods in Sciences and Engineering. 2019;1(1):19–31. doi:10.18576/ncmse/010103.
Golmankhaneh, A. K., Tunc, C., Nia, S. M. and Golmankhaneh, A. K. (2019), ‘A review on local and non-local fractal calculus’, Numerical and Computational Methods in Sciences and Engineering, 1(1), pp. 19–31. Available at: https://doi.org/10.18576/ncmse/010103.
Golmankhaneh, Alireza Khalili, et al. “A Review on Local and Non-local Fractal Calculus.” Numerical and Computational Methods in Sciences and Engineering, vol. 1, no. 1, 2019, pp. 19–31. https://doi.org/10.18576/ncmse/010103.
Golmankhaneh, Alireza Khalili, Cemil Tunc, Safa Measoomy Nia, and Ali Khalili Golmankhaneh. “A Review on Local and Non-local Fractal Calculus.” Numerical and Computational Methods in Sciences and Engineering 1, no. 1 (2019): 19–31. https://doi.org/10.18576/ncmse/010103.
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Published by: Engineering Journals
