Atlas home || Conferences | Abstracts | about Atlas

5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

View Abstracts
Conference Homepage

On some fractional evolution equations with nonlocal conditions
by
Mahmoud Mohammed Mostafa El-Borai
Professor of mathematics faculty of science Alexandria University Egypt

In this paper, Leray-Schauder principle is used to establish existence results for the nonlocal initial value problem of the following type,
dau(t)
dta
 = Au(t) + f(t, B(t)u),   t > 0 ,

u(0) = uo + g(u).
Here 0 < a £ 1 , A is the infinitzmal generator of a strongly continuous semigroup of bounded operators Q(t) in the Banach space E, { B(t): t > 0 is a family of linear closed operator defined on a dense set in E into E and f, g are given E-valued functions.

PDF

Date received: January 31, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # capg-14.