The idea of fractional calculus is not new it goes back to the beginning of classical calculus. Fractional derivatives are numerously used to investigate rheological properties in fluid mechanics. In the present era of research, non-integer ordered derivatives is an effective and useful tool in physical situations. Fractional calculus produces more reliable, stable and effective mathematical models of physical problems in the area of chemistry, bioengineering and dynamics than the classical calculus. Memory and hereditary properties of a fluid can be measured more accurately through fractional order calculus instead of conventional order calculus. For an instant, fractional derivatives are used in bio-rheology, astrophysics, biophysics, thermodynamics, plasma physics, traveling wave solutions, optics and electromagnetism