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

• Acknowledgment 8
• Preface 10
• Contents 12
• 1. Introduction 14
• 2. Preliminaries 24
• 3. Fractional integral identities 34
• 4. Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals 78
• 5. Hermite-Hadamard inequalities involving Hadamard fractional integrals 266
• Bibliography 374
• About the authors 386
• Index 388