Fractional Order Analysis Theory, Methods and Applications

by ; ;
Edition: 1st
Format: Hardcover
Pub. Date: 2020-09-01
Publisher(s): Wiley
  • Free Shipping Icon

    Free Shipping on all Orders Over $35!*

    *excludes Marketplace items.

List Price: $149.28

Buy New

Usually Ships in 8 - 10 Business Days.

Rent Textbook

Select for Price
There was a problem. Please try again later.

Used Textbook

We're Sorry
Sold Out


We're Sorry
Not Available

This item is being sold by an Individual Seller and will not ship from the Online Bookstore's warehouse. The Seller must confirm the order within two business days. If the Seller refuses to sell or fails to confirm within this time frame, then the order is cancelled.

Please be sure to read the Description offered by the Seller.


The book contains new research findings in fractional order analysis. Different tools and techniques from the field of fractional order analysis are found to be extremely helpful in practical applications because such analyses can help in developing mathematical methods or models more accurately. The book covers topics such as: conformable fractional operators, local fractional proportional derivatives, fractional derivative and integral operators, different inequalities via several fractional environments, different type of fractional integral operators, fractional-order chaotic model, flow models in fractional environment, multi-dimensional fractional order models, fractional modelling of the transmission dynamics of Influenza, and Zika virus model with various fractional derivatives. Using this book, readers can find several useful, relevant and connected topics in one place, which is necessary for crucial understanding of research problems of an applied nature.

This book can be a reference for courses in Mathematical Analysis at undergraduate and postgraduate levels. Additionally, this book could be used in specialized courses (1/2 weeks to 6 months duration) usually offered by mathematical societies/organizations, in university departments, and in research institutions on fractional calculus, fractional analysis, non-linear analysis, fractional dynamics, and nonlinear dynamics.

Author Biography

HEMEN DUTTA, PHD, is Faculty Member in the Department of Mathematics at Gauhati University, Guwahati, India.

AHMET OCAK AKDEMIR, PHD, is Associate Professor, Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, Ağrı, Turkey.

ABDON ATANGANA, PHD, is Professor, Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa.

Table of Contents

1. On the fractional derivative and integral operators

2. Generalized conformable fractional operators and their applications

3. Analysis of new trends of fractional differential equations

4. New estimations for exponentially convexity via conformable fractional operators

5. Lyapunov type inequalities for local fractional proportional derivatives

6. Minkowski type inequalities for mixed conformable fractional integrals

7. New estimations for different kinds of convex functions via conformable integrals and Riemann-Liouville fractional integral operators

8. Legendre-Spectral Algorithms for Solving Some Fractional Differential Equations

9. Mathematical Modeling of an Autonomous Nonlinear Dynamical System for Malaria Transmission using Caputo Derivative

10. MHD free convection flow over a vertical plate with ramped wall temperature and chemical reaction in view of non-singular kernel

11. Comparison of the different fractional derivatives for the dynamics of Zika virus 

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.