Generalized Fractional Calculus

New Advancements and Applications

AvGeorge A. Anastassiou

Inbunden, Engelska, 2020

Del i serien Studies in Systems, Decision and Control

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Häftad

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Beskrivning

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

Utgivningsdatum:2020-11-26
Mått:155 x 235 x 34 mm
Vikt:934 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Systems, Decision and Control
Antal sidor:498
Upplaga:20001
Förlag:Springer Nature Switzerland AG
ISBN:9783030569617

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Innehållsförteckning

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.