2016
6
4
4
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Generalization of Titchmarsh's Theorem for the Dunkl Transform
2
2
Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the ('; p)Dunkl Lipschitz condition in the space Lp(Rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.
1

261
267


salah
El ouadih
university
university
Iran
salahwadihh@gmail.com


Radouan
Daher
.
.
Iran
salahwadih1@gmail.com
Dunkl transform
generalized spherical mean operator
Dunkl kernel
Estimates for the Generalized FourierBessel Transform in the Space L2
2
2
Some estimates are proved for the generalized FourierBessel transform in the space (L^2) (alpha,n)index certain classes of functions characterized by the generalized continuity modulus.
1

269
275


salah
El ouadih
university
university
Iran
salahwadihh@gmail.com
singular dierential operator
generalized FourierBessel transform
generalized translation operator
Common FixedPoint Theorems For Generalized Fuzzy Contraction Mapping
2
2
In this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by Gregori and Sapena [V. Gregori, A. Sapena, On xedpoint the orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245252].
1

277
284


Hamid
Mottaghi Golshan
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University,
Iran
motgolhamm@gmail.com
Fuzzy metric spaces
Generalized contraction mapping
Common xed point
An LpLqversion Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
2
2
The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An LpLqversion of Morgan's theorem.
1

285
290


Loualid
El Mehdi
university
university
Iran
mehdi.loualidd@gmail.com
Morgan's theorem
generalized Fourier transform
Generalized Dunkl operator
Heisenberg inequality
Dunkl transform
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
2
2
In this article, we propose and analyze a computational method for numerical solution of general two point boundary value problems. Method is tested on problems to ensure the computational eciency. We have compared numerical results with results obtained by other method in literature. We conclude that propose method is computationally ecient and eective.
1

291
299


Pramod
Pandey
university
university
Iran
pramod_10p@hotmail.com
convergence
Fourth order method
Helmholtz equation
Maximum absolute error
Nonlinear problems
General problems
The combined reproducing kernel method and Taylor series for solving nonlinear VolterraFredholm integrodifferential equations
2
2
In this letter, the numerical scheme of nonlinear VolterraFredholm integrodifferential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satised. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear VolterraFredholm integrodifferential equations are converted to nonlinear differential equations. The exact solution is represented in the form of series in the reproducing Hilbert kernel space. The approximation solution is expressed by nterm summation of reproducing kernel functions and it is converge to the exact solution. Some numerical examples are given to show the accuracy of the method.
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301
312


Azizallah
Alvandi
DASDDADAAAS
DASDDADAAAS
Iran
alvandya@gmail.com


Mahmoud
Paripour
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156579, Iran
Department of Mathematics, Hamedan University
Iran
m_paripourr@yahoo.com
Reproducing kernel method
VolterraFredholm
integrodifferential equations
Approximation solution