TY - JOUR
T1 - Toward a New Algorithm for Nonlinear Fractional Differential Equations
AU - Awawdeh , Fadi
AU - Abbasbandy , S.
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 222
EP - 234
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.11-m1155
UR - https://global-sci.org/intro/article_detail/aamm/67.html
KW - Homotopy analysis method, Laplace transform, fractional differential equations.
AB - <p style="text-align: justify;">This paper is concerned with the development of an efficient
algorithm for the analytic solutions of nonlinear fractional
differential equations. The proposed algorithm Laplace homotopy
analysis method (LHAM) is a combined form of the Laplace transform
method with the homotopy analysis method. The biggest advantage
the LHAM has over the existing standard analytical techniques is
that it overcomes the difficulty arising in calculating
complicated terms. Moreover, the solution procedure is easier,
more effective and straightforward. Numerical examples are
examined to demonstrate the accuracy and efficiency of the
proposed algorithm.</p>