Fractional Order Analysis Theory, Methods and Applications

by Dutta, Hemen; Akdemir, Ahmet Ocak; Atangana, Abdon

• ISBN13: 9781119654162
• ISBN10: 1119654165
• Edition: 1st
• Format: Hardcover
• Copyright: 2020-09-01
• Publisher: Wiley

Summary

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.

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