@Article{pakinsight,
AUTHOR = {},
TITLE = {Multi-Order Fractional Mathieu Equation with External Multi-Periodic Excitation},
JOURNAL = {International Journal of Mathematical Research},
VOLUME = {5},
YEAR = {2016},
NUMBER = {2},
PAGES = {166-178},
URL = {http://www.pakinsight.com/archive/24/02-2016/2},
ISSN = {2306-2223},
ABSTRACT = {This paper presents an investigation of the behavior of the multi-order 
fractional differential equation (MFDE). We derive expressions for the 
transition curves separating regions of stability from instability for 
the MFDE generally and the particular case K=2. Employing the harmonic 
balance technique, we obtained approximate expressions for the n=1 and 
n=2   transition curves of the MFDE and particularly for the case k=2. 
We also obtained an approximate analytical solution to the multi-order 
fractionally damped and forced Duffing-Mathieu equation as well as some 
special cases computationally using the Homotopy Perturbation Method 
(HPM).},
DOI = {10.18488/journal.24/2016.5.2/24.2.166.178}
}