Download Advances on Fractional Inequalities (SpringerBriefs in by George A. Anastassiou PDF

By George A. Anastassiou

Advances on Fractional Inequalities  use basically the Caputo fractional by-product, because the most crucial in functions, and provides the 1st fractional differentiation inequalities of Opial variety which  involves the balanced fractional derivatives. The booklet maintains with correct and combined fractional differentiation Ostrowski inequalities within the univariate and multivariate circumstances. subsequent the suitable and left, in addition to combined, Landau fractional differentiation inequalities within the univariate and multivariate instances are illustrated. in the course of the booklet many functions are given.

Fractional differentiation inequalities are by way of themselves an immense and nice mathematical subject for study. in addition they've got many functions, an important ones are in developing specialty of answer in fractional differential equations and platforms and in fractional partial differential equations. additionally they supply higher bounds to the ideas of the above equations.

Fractional Calculus has emerged as very worthwhile over the past 40 years as a result of its many purposes in just about all technologies. this can be at present visible in functions in acoustic wave propagation in inhomogeneous porous fabric, diffusive delivery, fluid circulation, dynamical methods in self-similar buildings, dynamics of earthquakes, optics, geology, viscoelastic fabrics, bio-sciences, bioengineering, drugs, economics, likelihood and information, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear keep watch over, sign processing, regulate of energy 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 technology and engineering use fractional calculus so that it will describe results.

This ebook is part of Fractional Calculus, for that reason it  is helpful for researchers and graduate scholars for learn, seminars and complex graduate classes, in natural and utilized arithmetic, engineering and all different utilized sciences.

Show description

Read or Download Advances on Fractional Inequalities (SpringerBriefs in Mathematics) PDF

Similar calculus books

Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series)

The research of mathematics differential operators is a unique and promising sector of arithmetic. this entire creation to the topic starts off with the fundamentals: a dialogue of p-adic numbers and a few of the classical differential research at the box of p-adic numbers resulting in the definition of mathematics differential operators in this box.

Ultrametric Calculus: An Introduction to p-Adic Analysis (Cambridge Studies in Advanced Mathematics)

This can be an advent to p-adic research that is hassle-free but whole and which screens the diversity of functions of the topic. Dr Schikhof is ready to indicate and clarify how p-adic and 'real' research vary. This strategy promises the reader fast turns into accustomed to this both 'real' research and appreciates its relevance.

Singular Perturbations of Differential Operators: Solvable Schrödinger-type Operators (London Mathematical Society Lecture Note Series)

Differential (and extra basic self-adjoint) operators regarding singular interactions come up certainly in a variety of issues reminiscent of, classical and quantum physics, chemistry, and electronics. This booklet offers a scientific mathematical research of those operators, with specific emphasis on spectral and scattering difficulties.

Representations of the Infinite Symmetric Group (Cambridge Studies in Advanced Mathematics)

Illustration conception of massive teams is a crucial and speedy constructing a part of glossy arithmetic, giving upward push to numerous vital purposes in chance and mathematical physics. This booklet presents the 1st concise and self-contained advent to the idea at the easiest but very nontrivial instance of the endless symmetric workforce, concentrating on its deep connections to likelihood, mathematical physics, and algebraic combinatorics.

Extra resources for Advances on Fractional Inequalities (SpringerBriefs in Mathematics)

Sample text

Download PDF sample

Rated 4.74 of 5 – based on 33 votes