Multivariate Fuzzy-Random and stochastic arctangent, algebraic, Gudermannian and generalized symmetric activation functions induced Neural Network Approximations -- From Koeller's idea to modern fractional calculus: Fractional polynomial operators -- On weighted fractional operators with applications to mathematical models arising in physics -- Numerical solution of eighth order boundary value problems by using Vieta-Lucas polynomials -- The Mexican hat wavelet transform on generalized quotients and its applications.