The present work is a part of Geometric Function theory, in which the geometric behavior of analytic functions are studied. The Riemann-Liouville fractional operator have fruitfully been applied to obtain many properties for various subclasses of univalent and multivalent analytic and meromorphic functions, for example inclusion relationships, coefficient estimates, distortion theorems etc. Different fractional operators and convolution structure have been used in the present work to study various subclasses of analytic and meromorphic functions. Subordination technique, convolution structure and well known results mainly due to Miller and Mocanu have been frequently used to obtain new results in the present study.