TY  - JOUR
T1  - On the Existence of Solution of Differential Equation of Fractional Order
AU - , M.O. Olayiwola AU - , A.W. Gbolagade AU - , R.O. Ayeni AU - , A.R. Mustapha 
JO  - Journal of Modern Mathematics and Statistics
VL  - 2
IS  - 5
SP  - 157
EP  - 159
PY  - 2008
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2008.157.159
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2008.157.159
KW  - Differential equation
KW  -ADM
KW  -fractional order differential equations
AB  - 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.
ER  -