Journal of Modern Optics, cilt.63, sa.14, ss.1364-1369, 2016 (SCI-Expanded)
In this paper, we have generalized the Fα-calculus by suggesting Fourier and Laplace transformations of the function with support of the fractals set which are the subset of the real line. Using this generalization, we have found the diffraction fringes from the fractal grating Cantor sets.