This book provides efficient and reliable numerical methods for solving fractional calculus problems. It focuses on numerical techniques for fractional integrals, derivatives, and differential equations. The book covers frequently used fractional integrals and derivatives, explains how to implement fractional finite difference methods in various fractional differential equations relevant to scientific and engineering applications, and presents the finite element method for solving fractional PDEs. Many numerical examples support the theoretical analyses and MATLAB® functions are available on the book¿s CRC Press web page.