“…The recent growing attraction of researchers in this particular area reveals that it has distinctive applications in the disparate sites of science and engineering disciplines. Some recent papers which involve fractional formulations include, anomalous heat conduction and quantum mechanics processes [1] , [2] , [3] , diffusion processes [4] , [5] , [6] , Stokes problem [7] , financial models [8] , stochastic processes [9] , [10] , infiltration phenomena [11] , biological models [12] , and many others for which we refer to. The fundamental results which are devoted to FC relative to classical calculus is the long and short term memories.…”