Cai M. Theory and Numerical Approximations of Fractional Integr. Deriv. 2019

Textbook in PDF format

This book provides a comprehensive review of fractional calculus, covering both theory and numerical methods, and presents recent results on the subject
Background and theory
Fractional integrals
Fractional derivatives
Numerical approximations. Numerical fractional integration
Numerical Caputo differentiation
Numerical Riemann-Liouville differentiation
Numerical Riesz differentiation
Numerical fractional Laplacian