On the calculus of parameterized fractal curves

Authors : Alireza Khalili GOLMANKANEH

Pages : 418-425

View : 15 | Download : 11

Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : F^ alpha calculus, fractal Koch curve, staircase function, fractal Ces` a ro curve