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Functional Fractional Calculus for System Identification and Controls

Posted By: AvaxGenius
Functional Fractional Calculus for System Identification and Controls

Functional Fractional Calculus for System Identification and Controls by Shantanu Das
English | PDF(True) | 2008 | 251 Pages | ISBN : 3642091784 | 6 MB

When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls.

Generalized Fractional Calculus: New Advancements and Applications

Posted By: AvaxGenius
Generalized Fractional Calculus: New Advancements and Applications

Generalized Fractional Calculus: New Advancements and Applications by George A. Anastassiou
English | PDF | 2021 | 501 Pages | ISBN : 3030569616 | 5 MB

This book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions.