Fractional Calculus in Applied Sciences and Engineering
2 total works
Fractional-Order Equations and Inclusions
by Michal Feckan, Jinrong Wang, and Michal Pospisil
Published 7 November 2017
This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.
Contents
Fractional Difference Equations
Fractional Integral Equations
Fractional Differential Equations
Fractional Evolution Equations: Continued
Fractional Differential Inclusions
Contents
Fractional Difference Equations
Fractional Integral Equations
Fractional Differential Equations
Fractional Evolution Equations: Continued
Fractional Differential Inclusions
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
Contents
Introduction
Preliminaries
Fractional integral identities
Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
Hermite-Hadamard inequalities involving Hadamard fractional integrals