Generalized Fractional Calculus: New Advancements and Applications

Caputo ψ-fractional Ostrowski inequalities.- Caputo ψ-fractional Ostrowski and Gruss inequalities involving several functions.- Weighted Caputo fractional Iyengar type inequalities.- Generalized Canavati g-fractional Iyengar and Ostrowski inequalities.- Generalized Canavati g-fractional Polya inequalities.- Caputo generalized ψ-fractional integral type inequalities.- Generalized ψ-fractional Quantitative Approximation by Sub-linear Operators.- Generalized g-iterated fractional Quantitative Approximation by Sublinear Operators.- Generalized g-Fractional vector Representation Formula and Bochner integral type inequalities for Banach space valued functions.- Iterated g-Fractional vector Bochner integral Representation Formulae and inequalities for Banach space valued functions.- Vectorial generalized g-fractional direct and iterated Quantitative Approximation by linear operators.- Quantitative Multivariate Complex Korovkin Approximation Theory.- M-fractional integral type inequalities.- Principles of Stochastic Caputo Fractional Calculus with Fractional Approximation of Stochastic Processes.- Trigonometric Caputo Fractional Approximation of Stochastic Processes.- Trigonometric Conformable Fractional Approximation of Stochastic Processe.- Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes.- Trigonometric Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes.- Commutative Conformable Fractional Korovkin Approximation for Stochastic Processes.- Trigonometric Commutative Conformable Fractional Korovkin Approximation for Stochastic Processes.- Concluding Remarks.