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Solution of the Cauchy problem for the Navier - Stokes and Euler equations
Solution Cauchy problem the Navier - Stokes Euler equations
2010/12/3
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors.Existence and smoothness of the Navier-Stokes solutions in two dimensions have been known for a lo...
G. M. N'Guérékata, Corrigendum：A Cauchy Problem for some Fractional
Cauchy problem nonlocal conditions fractional differential equations Krasnoselkii theorem
2009/6/16
We report and correct an error that occurs in our recent paper ‘A Cauchy problem
for some fractional differential abstract equation with nonlocal condition published in
Nonlinear Analysis’.
A CAUCHY PROBLEM FOR ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Fractional differential equation infinite delay mild solution
2008/11/28
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional
differential equations with infinite delay. Several theorems of existence and
uniqueness of mild solution...
NONLOCAL CAUCHY PROBLEM FOR SOME FRACTIONAL ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Fractional abstract integrodifferential equation contraction mapping Krasnoleskii theorem nonlocal conditions
2008/11/28
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential
equations with nonlocal condition in a Banach space. The results
are established by the applicatio...