Abstract ordinary and fractional neural network approximations based on Richard's curve -- Abstract Multivariate Neural Network Approximation based on Richard's curve -- Parametrized hyperbolic tangent based Banach space valued basic and fractional neural network approximations -- Parametrized hyperbolic tangent induced Banach space valued multivariate multi layer neural network approximations -- Banach space valued neural network approximation based on a parametrized arctangent sigmoid function -- Parametrized arctangent activated Banach space valued multi layer neural network multivariate approximation -- Banach space valued Ordinary and Fractional neural networks approximations based on the parametrized Gudermannian function -- Parametrized Gudermannian activation function based Banach space valued neural network multivariate approximation -- Banach space valued univariate neural network approximation based on parametrized error activation function -- Banach space valued multivariate multi layer neural network approximation based on parametrized error activation function -- Hyperbolic Tangent Like based univariate Banach space valued neural network approximation -- Banach space valued neural network multivariate approximation based on hyperbolic tangent like activation function -- Banach space valued ordinary and fractional neural network approximations based on q-deformed hyperbolic tangent activation function -- Banach space valued multivariate multi layer neural network approximation based on q-deformed hyperbolic tangent activation function -- Banach space valued multivariate multi layer neural network approximation based on q-deformed and λ-parametrized A-generalized logistic function -- Banach space valued ordinary and fractional neural network approximation based on q-deformed and λ-parametrized A-generalized logistic function -- Banach space valued multivariate multi layer neural network approximation based on q-deformed and λ-parametrized hyperbolic tangent function -- q-Deformed and λ-parametrized hyperbolic tangent based Banach space valued ordinary and fractional neural network approximation -- Banach space valued multivariate multi layer neural network approximation based on q-Deformed and parametrized half hyperbolic tangent -- Banach space valued ordinary and fractional neural network approximation based on q-deformed and β-parametrized half hyperbolic tangent -- General sigmoid relied Banach space valued neural network approximation -- General sigmoid induced Banach space valued neural network multivariate approximation -- Fuzzy basic and fractional general sigmoid function generated neural network approximation -- Multivariate Fuzzy Approximation by Neural Network Operators induced by a general sigmoid function -- Multivariate Fuzzy-Random and stochastic general sigmoid activation function generated Neural Network Approximations -- Voronovskaya type asymptotic expansions for general sigmoid functions induced quasi-interpolation neural network operators -- Multiple general sigmoids activated Banach space valued neural network multivariate approximation -- Quantitative Approximation by Multiple sigmoids KantorovichChoquet quasi-interpolation neural network operators -- Degree of Approximation by Multiple sigmoids KantorovichShilkret quasi-interpolation neural network operators -- Approximation by Neural Networks of Brownian Motion -- Neural Networks Approximation of Time Separating Stochastic Processes -- Fractional Calculus between Banach spaces together with Ostrowski and Gr¨uss kind of inequalities -- Sequential Fractional Calculus between Banach spaces and corresponding Ostrowski and Gr¨uss kind of inequalities.