Generalized Fractional Order Differential Equations Arising in Physical Models

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.

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