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Title
Fractional inequalities in Banach algebras / George A. Anastassiou.
ISBN
9783031051487 (electronic bk.)
3031051483 (electronic bk.)
9783031051470
3031051475
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xiii, 307 pages) : illustrations.
Item Number
10.1007/978-3-031-05148-7 doi
Call Number
QA326
Dewey Decimal Classification
512/.554
Summary
This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann-Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book's results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 20, 2022).
Series
Studies in systems, decision and control ; v. 441. 2198-4190
Available in Other Form
Print version: 9783031051470
Generalized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions
Iterated Generalized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions
Generalized Canavati Fractional Ostrowski, Opial and Gruss inequalities with multiple Banach algebra valued functions
Generalized Canavati Fractional Hilbert-Pachpatte inequalities for Banach algebra valued functions
Generalized Ostrowski, Opial and Hilbert-achpatte inequalities for Banach algebra valued functions involving integer vectorial derivatives.
