Vol. 3, Issue 5, Part L (2017)

Abstract
In this paper introduces fractional derivatives and fractional integrals. After a short introduction and some preliminaries the Riemann-Liouville and weyl approaches in fractional calculus will be explored. Then some basic properties of Riemann-Liouville and weyl approaches, such as the Cauchy formula for integration, namely, semi group property of fractional differintegral operators, There after the definitions of the Riemann-Liouville and weyl approaches will be applied to a few examples. Also fractional differential equations and one method for solving them will be discussed. The paper ends with some examples of Riemann-Liouville and weyl approaches in fractional calculus.