Generalized Fractional Order Differential Equations Arising in Physical Models
Autor Santanu Saha Ray, Subhadarshan Sahooen Limba Engleză Hardback – 20 noi 2018
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Specificații
ISBN-13: 9781138366817
ISBN-10: 1138366811
Pagini: 350
Ilustrații: 165 Illustrations, black and white
Dimensiuni: 178 x 254 mm
Greutate: 0.79 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 1138366811
Pagini: 350
Ilustrații: 165 Illustrations, black and white
Dimensiuni: 178 x 254 mm
Greutate: 0.79 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Cuprins
List of Figures
List of Tables
List of Figures
List of Tables
Preface
Acknowledgments
Authors
1. Introduction and Preliminaries of Fractional Calculus
2. Overview of Numerous Analytical Methods
3. New Analytical Approximate Solutions of Fractional Differential Equations
4. New Analytical Approximate Solutions of Riesz Fractional Differential
Equations
5. New Exact Solutions of Fractional Differential Equations by Fractional Sub-Equation and Improved Fractional Sub-Equation Method
6. New Exact Solutions of Fractional Differential Equations by (G’/G)-Expansion Method and Improved (G’/G)-Expansion Method
7. New Exact Solutions of Fractional Differential Equations by Proposed Tanh and Modified Kudryashov Methods
8. New Exact Solutions of Fractional Differential Equations by Proposed Novel Method
9. New Exact Solutions of Fractional Coupled Differential Equations by Jacobi Elliptic Function Method
10. Formulation and Solutions of Fractional Continuously Variable-Order Mass-Spring Damper Systems
References
Index
List of Tables
List of Figures
List of Tables
Preface
Acknowledgments
Authors
1. Introduction and Preliminaries of Fractional Calculus
2. Overview of Numerous Analytical Methods
3. New Analytical Approximate Solutions of Fractional Differential Equations
4. New Analytical Approximate Solutions of Riesz Fractional Differential
Equations
5. New Exact Solutions of Fractional Differential Equations by Fractional Sub-Equation and Improved Fractional Sub-Equation Method
6. New Exact Solutions of Fractional Differential Equations by (G’/G)-Expansion Method and Improved (G’/G)-Expansion Method
7. New Exact Solutions of Fractional Differential Equations by Proposed Tanh and Modified Kudryashov Methods
8. New Exact Solutions of Fractional Differential Equations by Proposed Novel Method
9. New Exact Solutions of Fractional Coupled Differential Equations by Jacobi Elliptic Function Method
10. Formulation and Solutions of Fractional Continuously Variable-Order Mass-Spring Damper Systems
References
Index
Descriere
This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.