Numerical Methods for Fractional Differentiation

• Main Authors: Owolabi, Kolade M. (Author, http://id.loc.gov/vocabulary/relators/aut), Atangana, Abdon (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Series in Computational Mathematics, 54
• Subjects: Partial differential equations.; Differential equations.; Numerical analysis.; Epidemiology.; Partial Differential Equations.; Ordinary Differential Equations.; Numerical Analysis.

This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book include those with exponential d...

Table of Contents:

• 1. Review of Fractional Differentiation
• 2. Finite Difference Approximations
• 3. Numerical Approximation of Riemann-Liouville Differentiation
• 4. Numerical Approximation of Caputo Differentiation
• 5. Numerical Approximation of Caputo-Fabrizio Differentiation
• 6. Numerical Approximation of Atangana-Baleanu Differentiation
• 7. Application to Ordinary Fractional Differential Equations
• 8. Application to Partial Fractional Differential Equation.