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Fractional Hermite-Hadamard Inequalities (eBook)

Artikelnummer: 978-3-11-052362-1
Einband: PDF
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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

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

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VerlagDe Gruyter
EinbandPDF
Erscheinungsjahr2018
Seitenangabe387 S.
AusgabekennzeichenEnglisch
Auflage18001 A. 1. Auflage
PlattformPDF
ReiheFractional Calculus in Applied Sciences and Engineering
AutorWang, Jinrong / Feckan, Michal

Alle Bände der Reihe "Fractional Calculus in Applied Sciences and Engineering"

Über den Autor Jinrong Wang

Prof. JinRong Wang has been a Professor of the Department of Mathematics at the School of Mathematics and Statistics at Guizhou University, People's Republic of China since 2011. He received his master's degree from Guizhou University in 2006 and PhD from the same university in 2009. He is interested in impulsive differential equations, fractional differential equations, delay differential equations and iterative learning controls. He was recognized as a Highly Cited Researcher in Mathematics in the period of 2015 to 2018.Professor Michal Fe¿kan works at the Department of Mathematical Analysis and Numerical Mathematics at the Faculty of Mathematics, Physics, and Informatics at Comenius University. He specializes in nonlinear functional analysis, and dynamic systems and their applications. There is much interest in his contribution to the analysis of solutions of equations with fractional derivatives. Fe¿kan has written several scientific monographs that have been published at top international publishing housesMengmeng Li is a Lecturer at Guizhou University in China.

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