Introduction and Preliminaries of Fractional Calculus

In chapter 1, some definitions of fractional calculus have been discussed. Mainly, the definitions of Riemann-Liouville fractional integral and derivative, Caputo fractional derivative, Grünwald-Letnikov fractional derivative, Riesz fractional derivative, modified Riemann-Liouville derivative, and local fractional derivative have been discussed. Also, some useful functions, viz., the gamma function, beta function, Mittag-Leffler function, and Wright function have been discussed, which are useful to describe the definitions for fractional calculus.