In 1981, the idea of difference sequence spaces based on difference operator with order one was introduced by Kizmaz Kizmaz and it was further generalized by Et and Colak Et and Colak to the case of an integral order m. The idea of difference operators has been extensively used to develop the study of sequence spaces through several standard methods involving topological structures, dual spaces, matrix transformations etc. Difference operators based on integral and non integral orders have been become a prominent area of research which provides major connections among different areas of mathematics. Several difference operators have been introduced through sequence spaces and subsequently, applied in many areas of pure and applied mathematics such as summability theory. The application of fractional derivatives becomes more apparent in modeling mechanical and electrical properties of real materials as well as in the description of rheological properties of rocks and in many other fields.