Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
12
29
Generalization of Titchmarsh's Theorem for the Dunkl Transform
261
267
EN
salah
El ouadih
university
salahwadihh@gmail.com
Radouan
Daher
.
salahwadih1@gmail.com
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.
Dunkl transform,generalized spherical mean operator,Dunkl kernel
http://ijm2c.iauctb.ac.ir/article_527655.html
http://ijm2c.iauctb.ac.ir/article_527655_655da811be873f72c62568a902f95d08.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
11
01
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
269
275
EN
salah
El ouadih
university
salahwadihh@gmail.com
Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.
singular dierential operator,generalized Fourier-Bessel transform,generalized translation operator
http://ijm2c.iauctb.ac.ir/article_527656.html
http://ijm2c.iauctb.ac.ir/article_527656_5bc418dd1e7d38a4c143a52f8db4139b.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
11
01
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
277
284
EN
Hamid
Mottaghi Golshan
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
motgolhamm@gmail.com
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 xed-point the- orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252].
Fuzzy metric spaces,Generalized contraction mapping,Common xed point
http://ijm2c.iauctb.ac.ir/article_527657.html
http://ijm2c.iauctb.ac.ir/article_527657_e7a5558b4b2d31afed9ff7008e0ad355.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
11
01
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
285
290
EN
Loualid
El Mehdi
university
mehdi.loualidd@gmail.com
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 Lp-Lq-version of Morgan's theorem.
Morgan's theorem,generalized Fourier transform,Generalized Dunkl operator,Heisenberg inequality,Dunkl transform
http://ijm2c.iauctb.ac.ir/article_527658.html
http://ijm2c.iauctb.ac.ir/article_527658_b67f1b2b988a3c047f4f06910e7c53db.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
11
01
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
291
299
EN
Pramod
Pandey
university
pramod_10p@hotmail.com
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.
Convergence,Fourth order method,Helmholtz equation,Maximum absolute error,Nonlinear problems,General problems
http://ijm2c.iauctb.ac.ir/article_527659.html
http://ijm2c.iauctb.ac.ir/article_527659_c97fa5ec91bb5202976c89b818f0ae88.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
6
4 (Fall)
2016
11
01
The combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
301
312
EN
Azizallah
Alvandi
DASDDADAAAS
alvandya@gmail.com
Mahmoud
Paripour
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156-579, Iran
m_paripourr@yahoo.com
In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential 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 Volterra-Fredholm integro-differential 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 n-term 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.
Reproducing kernel method,Volterra-Fredholm,integro-differential equations,Approximation solution
http://ijm2c.iauctb.ac.ir/article_527660.html
http://ijm2c.iauctb.ac.ir/article_527660_149531c82f6fbfa92aad9f8f2fa2d8d3.pdf