Historical Developments in Fractional Calculus: A Survey

Minatai B. Labade

Abstract: In today?s world of science the study of fractional calculus become a trending field of research. Since fractional calculus plays an important role in the various applications in science and engineering, the field has been grown so far.The aim of this paper is to give a detailed survey on historical developments in fractional calculus. In the present article we survey on historical developments in fractional calculus and most popular definitions of the fractional derivative and fractional integration.

Keywords: Historical developments, Gamma function, Beta function Fractional integral, fractional derivative