@article{MAKHILLJMMS20082528109,
    title = {On the Existence of Solution of Differential Equation of Fractional Order},
    journal = {Journal of Modern Mathematics and Statistics},
    volume = {2},
    number = {5},
    pages = {157-159},
    year = {2008},
    issn = {1994-5388},
    doi = {jmmstat.2008.157.159},
    url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2008.157.159},
    author = {M.O. Olayiwola,A.W. Gbolagade,R.O. Ayeni and},
    keywords = {Differential equation,ADM,fractional order differential equations},
    abstract = {We are concerned with the solution of the differential equations of the form:
<table width="100%" border="0">
  <tr>
    <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.}
    }