M.O. Olayiwola  , A.W. Gbolagade  , R.O. Ayeni  , A.R. Mustapha  , 
    On the Existence of Solution of Differential Equation of Fractional Order,
    Journal of Modern Mathematics and Statistics,
    Volume 2,Issue 5,
    2008,
    Pages 157-159,
    ISSN 1994-5388,
    jmmstat.2008.157.159,
    (https://makhillpublications.co/view-article.php?doi=jmmstat.2008.157.159)
    Abstract: We are concerned with the solution of the differential equations of the form:
<table width="100%" border="0">
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    <td width="94%"><div align="center"><IMG SRC="http://www.medwelljournals.com/fulltext/jmms/Image111.gif"></div></td>
    <td width="6%">(1)</td>
  </tr>
</table>
<br>
where, = m/n, n 0. Equations of this type arise in the generalized viscoelastic 
constitutive equations and in fractional Brownian motion. Numerical methods for 
solution of Eq. (1) are well established, particularly for 0<m/n<1. In this 
study, we present an Adomian decomposition method for the solution of prototype 
Eq. (1), with 1<m/n<2.
    Keywords: Differential equation;ADM;fractional order differential equations