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In this paper a family of weighted fractal networks, in which the weights of edges have been assigned to different values with certain scale, are studied. For the case of the weighted fractal networks the definition of modified box dimension is introduced, and a rigorous proof for its existence is given. Then, the modified box dimension depending on the… (More)
Recently, we reconsider continuously definitions and properties of Gibbs derivatives on p adic field Q p , by using so called pseudu-differential operators T α , we find the kernel κ α of T α , as well as the spectra of it. Moreover, we show some applications of T α to fractal analysis and medical science.