Journal of Kufa for Mathematics and Computer

This paper introduces the concepts fuzzy preHilbert spaces and fuzzy co-pre-Hilbert spaces
and proves some theorems in this subject.

The purpose of this paper is construct the
concept of fuzzy regular proper mapping in
fuzzy topological spaces . We give some
characterization of fuzzy regular compact
mapping and fuzzy regular coercive mapping .
We study the relation among the concepts of
fuzzy regular proper mapping , fuzzy regular
compact mapping and fuzzy regular coercive
mapping and we obtained several properties.

In this paper , we introduce the definition
of Fuzzy- α– T1/ 2
space and its some
proposition about this subject .

We discusse in this paper a
Smarandache semigroups , a Smarandache
cyclic semigroups and a Smarandache lagrange
semigroups.We prove that the Smarandache
semigroup
Z2P
with multiplication modulo 2P
where p is an odd prime have two subgroups of
order P-1and we prove that
Z2P
is a S-cyclic
semigroup and Smarandache weakly Lagrange
semigruop and we prove that some results about
a Smarandache inverse in groups and a
Smarandache conjugate in groups .

In this paper , we study a new
class
 M
of p-valent functions with
negative coefficient defined by integral
operator in the unit disk . We obtain some
results of this class .

In this work, we construct complete
(k,n)-arcs and we find some of them are
maximum for some n, 2 < n < 8. if n = 2,
where every arc which constructed by the
equation of the conic called conic arc, and
from it we constructs complete arcs and we
prove it’s maximum by taking the union of
two ,three and six conics , respectively. and
then we show By adding the points of index
zero for the (k6,6)-arc, (k7,7)-arc,
respectively, we get a maximum complete
(k8,8)-arc.

In this paper we use the higher order
differences for second order (derivative) in
solving parabolic partial delay differential
equations by using the explicit method and we
get results are more closer to the exact values
than the results which can be obtained if the
familiar second order (derivative) form is used.
Finally ,we make a comparison using Matlab
between the results through two tables of
values form [ 3] which results from Taylor
series expansions of a function centered on the
grid point
( , ) i j x t
. In this paper, we use the
higher order differences for second order instead
of the familiar form for solving the parabolic
delay differential equations .

In this paper, , a new procedure is applied to
treatment of initial boundary value problems by
mixed initial and boundary conditions together
to obtain a new initial solution at every iteration
using homotopy perturbation method. The
structure of a new successive initial solutions
can give a more accurate solution. Some
examples (linear and nonlinear, homogeneous
and nonhomogeneous problems) are given in
this paper to illustrate the effectiveness and
convenience of a new procedure. In this paper, , a new procedure is applied to
treatment of initial boundary value problems by
mixed initial and boundary conditions together
to obtain a new initial solution at every iteration
using homotopy perturbation method. The
structure of a new successive initial solutions
can give a more accurate solution. Some
examples (linear and nonlinear, homogeneous
and nonhomogeneous problems) are given in
this paper to illustrate the effectiveness and
convenience of a new procedure.

In this paper fractional linear integrodifferential equations with and without delays
is studied, and solving such equations by using
the variational approach and singularity
methods.