Using a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann- Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained.
We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium. Existence and regularity of the optimal solutions for this system is established. © Balkan Society of Geometers, Geometry Balkan Press 2007. ; CEOC ; FCT ; p SFRH/BPD/20934/2004
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University. All rights reserved. ; CEOC ; FCT ; FEDER/POCTI ; SFRH/BPD/20934/2004
We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.
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