Abstract

In this paper, we apply $F^{\alpha}$-calculus on the fractal Koch and Ces\`{a}ro curves with different dimensions. A generalized Newton's second law on the fractal Koch and Ces\`{a}ro curves is given. Density of the moving particles absorbed on fractal Ces\`{a}ro are derived. Illustrative examples are given to present the details of $F^{\alpha}$-integrals and $F^{\alpha}$-derivatives.

DOI

10.3906/fiz-1704-7

Keywords

$F^{\alpha}$-calculus, fractal Koch curve, staircase function; fractal Ces\`{a}ro curve

First Page

418

Last Page

425

Recommended Citation

GOLMANKANEH, A. K (2017). On the calculus of parameterized fractal curves. Turkish Journal of Physics 41 (5): 418-425. https://doi.org/10.3906/fiz-1704-7

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