By George A. Anastassiou
Advances on Fractional Inequalities use basically the Caputo fractional spinoff, because the most vital in purposes, and provides the 1st fractional differentiation inequalities of Opial variety which involves the balanced fractional derivatives. The publication keeps with correct and combined fractional differentiation Ostrowski inequalities within the univariate and multivariate instances. subsequent the precise and left, in addition to combined, Landau fractional differentiation inequalities within the univariate and multivariate circumstances are illustrated. through the e-book many functions are given.
Fractional differentiation inequalities are through themselves a major and nice mathematical subject for examine. in addition they've got many functions, an important ones are in developing area of expertise of resolution in fractional differential equations and platforms and in fractional partial differential equations. additionally they supply top bounds to the strategies of the above equations.
Fractional Calculus has emerged as very worthwhile over the past 40 years as a result of its many functions in just about all technologies. this is often at the moment noticeable in functions in acoustic wave propagation in inhomogeneous porous fabric, diffusive delivery, fluid move, dynamical methods in self-similar constructions, dynamics of earthquakes, optics, geology, viscoelastic fabrics, bio-sciences, bioengineering, drugs, economics, chance and information, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear keep an eye on, sign processing, keep watch over of strength digital, converters, chaotic dynamics, polymer technological know-how, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, and so forth. just about all fields of study in technological know-how and engineering use fractional calculus which will describe results.
This ebook is part of Fractional Calculus, for this reason it is worthwhile for researchers and graduate scholars for examine, seminars and complex graduate classes, in natural and utilized arithmetic, engineering and all different utilized sciences.
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Advances on Fractional Inequalities (SpringerBriefs in Mathematics) by George A. Anastassiou