Front Cover; Contents; Foreword; Preface; List of Figures; List of Tables; 1. Introduction to Fractional Calculus; 2. Numerical Methods for Fractional Integral and Derivatives; 3. Numerical Methods for Fractional Ordinary Differential Equations; 4. Finite Difference Methods for Fractional Partial Differential Equations; 5. Galerkin Finite Element Methods for Fractional Partial Differential Equations; Bibliography
Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and properties of fractional integrals and derivatives before covering numerical methods for fractional integrals and derivatives. It then discusses finite difference methods for both FODEs and FPDEs, including the Euler and linear multistep methods. The final chapter.. .