Generalized Fractional Calculus

New Advancements and Applications

Inbunden, Engelska, 2020

Av George A. Anastassiou, George a. Anastassiou

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This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus.

Produktinformation

Utgivningsdatum2020-11-26
Mått155 x 235 x 34 mm
Vikt934 g
FormatInbunden
SpråkEngelska
SerieStudies in Systems, Decision and Control
Antal sidor498
Upplaga20001
FörlagSpringer Nature Switzerland AG
ISBN9783030569617

Tillhör följande kategorier

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.