Overview
Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchersand graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences.
Full Product Details
Author: George A. Anastassiou
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 2011 ed.
Dimensions:
Width: 15.50cm
, Height: 0.70cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9781461407027
ISBN 10: 1461407028
Pages: 122
Publication Date: 25 July 2011
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: Awaiting stock
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.
Reviews
From the reviews: This short monograph is a continuation and complement of the author's previous book 'Fractional differentiation inequalities' ... . this monograph is a collection of the author's recent research papers ... . each chapter is self-contained with relevant references and can be read independently of the others. ... This book is well written and should be useful to researchers and graduate students. (S. L. Kalla, Zentralblatt MATH, Vol. 1230, 2012)
From the reviews: This short monograph is a continuation and complement of the author's previous book `Fractional differentiation inequalities' ... . this monograph is a collection of the author's recent research papers ... . each chapter is self-contained with relevant references and can be read independently of the others. ... This book is well written and should be useful to researchers and graduate students. (S. L. Kalla, Zentralblatt MATH, Vol. 1230, 2012)
From the reviews: This short monograph is a continuation and complement of the author's previous book 'Fractional differentiation inequalities' ... . this monograph is a collection of the author's recent research papers ... . each chapter is self-contained with relevant references and can be read independently of the others. ... This book is well written and should be useful to researchers and graduate students. (S. L. Kalla, Zentralblatt MATH, Vol. 1230, 2012)
