Fractional integral of continuous functions has been discussed in the present paper. If the order of Riemann-Liouville fractional integral is v, fractal dimension of Riemann-Liouville fractional ...
1 State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, China 2 School of Water Resources and Environmental Engineering, East China University of ...
1 Electrical Engineering School of Guangxi University, Nanning, China. 2 Information Engineering School of Jimei University, Xiamen, China. The qualitative solutions of dynamical system expressed with ...
Abstract: Kolmogorov and Arnold proved that any real continuous bounded function of many variables can be represented as a superposition of functions of one variable and addition. In subsequent works ...
This is a preview. Log in through your library . Abstract Let S be a completely regular topological semigroup and μ a bounded regular Borel measure on S. For a very large class of noncompact ...
Abstract: A technique for approximating a continuous function of n variables with a radial basis function (RBF) neural network is presented. The method uses an n-dimensional raised-cosine type of RBF ...
For 0 < 𝛼 < 1 let 𝑉(𝛼) denote the supremum of the numbers 𝜐 such that every 𝛼-Hölder continuous function is of bounded variation on a set of Hausdorff dimension 𝜐. Kahane and Katznelson (2009) ...