(Asian Research Journal of Mathematics, 2020) Ajibola, S. O.; Oke, A. S.; Mutuku, W. N.
Fractional calculus has been found to be a great asset in nding fractional dimension in chaos
theory, in viscoelasticity di usion, in random optimal search etc. Various techniques have been
proposed to solve di erential equations of fractional order. In this paper, the Laplace-Homotopy
Analysis Method (LHAM) is applied to obtain approximate analytic solutions of the nonlinear
Rosenau-Hyman Korteweg-de Vries (KdV), K(2, 2), and Burgers' equations of fractional order
with initial conditions. The solutions of these equations are calculated in the form of convergent
series. The solutions obtained converge to the exact solution when α = 1, showing the reliability
of LHAM.