Approximate solutions for fractional differential equation in the unit disk

In this paper we establish the existence solution approximately for differential equation of fractional order takes the form \[z^{\alpha} D[ D^{\alpha} u(z)] +(b-z)u'(z)-a u(z)=0, \quad a \neq 0, |b|< 1, 0 < \alpha < 1,\] subject to the initial conditions $u(0)=u_{0}$ and $u'(0)...

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Bibliographic Details
Main Author: Rabha W. Ibrahim
Format: Article
Language:English
Published: University of Szeged 2011-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=603