“…Nonetheless; though its fascinating nature and contribution of mathematicians, physicists and engineers, it has not been a huge attraction. Recent decades have seen a dramatically accelerating pace in the development of fractional calculus due to frequently appearing in various applications in fields of biomechanics, viscoelasticity, control theory, aerodynamics, physics and engineering and so on [1,2]. The popularity of FC has attracted many researchers from all over the world, thus, this attraction produced research papers and books covering all areas of science and motivated and development of numerical methods [3,4].…”