Fractional Order Analysis: Theory, Methods and ApplicationsHemen Dutta, Ahmet Ocak Akdemir, Abdon Atangana 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:
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. |
Contents
LegendreSpectral Algorithms for Solving Some Fractional | 8 |
1 | 17 |
6 | 28 |
Generalized Conformable Fractional Operators and Their | 43 |
Analysis of New Trends of Fractional Differential | 91 |
Lyapunovtype Inequalities for Local Fractional Proportional | 133 |
MinkowskiType Inequalities for Mixed Conformable | 151 |
New Estimations for Different Kinds of Convex Functions | 169 |