Fractional Hermite-Hadamard Inequalities

Fractional Hermite-Hadamard Inequalities
Author: JinRong Wang
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 390
Release: 2018-05-22
Genre: Mathematics
ISBN: 3110523620

Download Fractional Hermite-Hadamard Inequalities Book in PDF, Epub and Kindle

This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. Contents Introduction Preliminaries Fractional integral identities Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals Hermite-Hadamard inequalities involving Hadamard fractional integrals

Fractional Hermite-Hadamard Inequalities

Fractional Hermite-Hadamard Inequalities
Author: JinRong Wang
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 534
Release: 2018-05-22
Genre: Mathematics
ISBN: 3110522446

Download Fractional Hermite-Hadamard Inequalities Book in PDF, Epub and Kindle

This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. Contents Introduction Preliminaries Fractional integral identities Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals Hermite-Hadamard inequalities involving Hadamard fractional integrals

Fractional Hermite-Hadamard Inequalities

Fractional Hermite-Hadamard Inequalities
Author: JinRong Wang (Mathematics professor)
Publisher:
Total Pages:
Release: 2018
Genre: MATHEMATICS
ISBN: 9783110523638

Download Fractional Hermite-Hadamard Inequalities Book in PDF, Epub and Kindle

Fractional Calculus

Fractional Calculus
Author: Dumitru Baleanu
Publisher: World Scientific
Total Pages: 426
Release: 2012
Genre: Mathematics
ISBN: 9814355208

Download Fractional Calculus Book in PDF, Epub and Kindle

This title will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.

Fractional Differentiation Inequalities

Fractional Differentiation Inequalities
Author: George A. Anastassiou
Publisher: Springer Science & Business Media
Total Pages: 672
Release: 2009-05-28
Genre: Mathematics
ISBN: 0387981284

Download Fractional Differentiation Inequalities Book in PDF, Epub and Kindle

In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.

Fractional Order Analysis

Fractional Order Analysis
Author: Hemen Dutta
Publisher: John Wiley & Sons
Total Pages: 336
Release: 2020-08-06
Genre: Mathematics
ISBN: 1119654238

Download Fractional Order Analysis Book in PDF, Epub and Kindle

A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the theory, methods, applications, and the modern tools and techniques in the field of fractional order analysis. The information, tools, and applications presented can help develop mathematical methods and models with better accuracy. Comprehensive in scope, the book covers a range of topics including: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and fractional integrals, fractional modeling related to transmission of Malaria, and dynamics of Zika virus with various fractional derivatives, and more. Designed to be an accessible text, several useful, relevant and connected topics can be found in one place, which is crucial for an understanding of the research problems of an applied nature. This book: Contains recent development in fractional calculus Offers a balance of theory, methods, and applications Puts the focus on fractional analysis and its interdisciplinary applications, such as fractional models for biological models Helps make research more relevant to real-life applications Written for researchers, professionals and practitioners, Fractional Order Analysis offers a comprehensive resource to fractional analysis and its many applications as well as information on the newest research.

Convex Functions, Partial Orderings, and Statistical Applications

Convex Functions, Partial Orderings, and Statistical Applications
Author: Josip E. Peajcariaac
Publisher: Academic Press
Total Pages: 485
Release: 1992-06-03
Genre: Mathematics
ISBN: 0080925227

Download Convex Functions, Partial Orderings, and Statistical Applications Book in PDF, Epub and Kindle

This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Presents classical and newly published results on convex functions and related inequalities Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions Will generate further research and applications

An Introduction to the Fractional Calculus and Fractional Differential Equations

An Introduction to the Fractional Calculus and Fractional Differential Equations
Author: Kenneth S. Miller
Publisher: Wiley-Interscience
Total Pages: 384
Release: 1993-06-02
Genre: Mathematics
ISBN: 9780471588849

Download An Introduction to the Fractional Calculus and Fractional Differential Equations Book in PDF, Epub and Kindle

Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations.

Classical and New Inequalities in Analysis

Classical and New Inequalities in Analysis
Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
Total Pages: 739
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401710430

Download Classical and New Inequalities in Analysis Book in PDF, Epub and Kindle

This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.

Advances in Mathematical Inequalities and Applications

Advances in Mathematical Inequalities and Applications
Author: Praveen Agarwal
Publisher: Springer
Total Pages: 349
Release: 2018-12-31
Genre: Mathematics
ISBN: 9811330131

Download Advances in Mathematical Inequalities and Applications Book in PDF, Epub and Kindle

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.