eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-12-29
6
4 (Fall)
261
267
527655
Generalization of Titchmarsh's Theorem for the Dunkl Transform
salah El ouadih
salahwadihh@gmail.com
1
Radouan Daher
salahwadih1@gmail.com
2
university
.
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.
http://ijm2c.iauctb.ac.ir/article_527655_655da811be873f72c62568a902f95d08.pdf
Dunkl transform
generalized spherical mean operator
Dunkl kernel
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-11-01
6
4 (Fall)
269
275
527656
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
salah El ouadih
salahwadihh@gmail.com
1
university
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.
http://ijm2c.iauctb.ac.ir/article_527656_5bc418dd1e7d38a4c143a52f8db4139b.pdf
singular dierential operator
generalized Fourier-Bessel transform
generalized translation operator
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-11-01
6
4 (Fall)
277
284
527657
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
Hamid Mottaghi Golshan
motgolhamm@gmail.com
1
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
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].
http://ijm2c.iauctb.ac.ir/article_527657_e7a5558b4b2d31afed9ff7008e0ad355.pdf
Fuzzy metric spaces
Generalized contraction mapping
Common xed point
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-11-01
6
4 (Fall)
285
290
527658
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Loualid El Mehdi
mehdi.loualidd@gmail.com
1
university
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.
http://ijm2c.iauctb.ac.ir/article_527658_b67f1b2b988a3c047f4f06910e7c53db.pdf
Morgan's theorem
generalized Fourier transform
Generalized Dunkl operator
Heisenberg inequality
Dunkl transform
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-11-01
6
4 (Fall)
291
299
527659
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
Pramod Pandey
pramod_10p@hotmail.com
1
university
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.
http://ijm2c.iauctb.ac.ir/article_527659_c97fa5ec91bb5202976c89b818f0ae88.pdf
Convergence
Fourth order method
Helmholtz equation
Maximum absolute error
Nonlinear problems
General problems
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-11-01
6
4 (Fall)
301
312
527660
The combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
Azizallah Alvandi
alvandya@gmail.com
1
Mahmoud Paripour
m_paripourr@yahoo.com
2
DASDDADAAAS
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
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.
http://ijm2c.iauctb.ac.ir/article_527660_149531c82f6fbfa92aad9f8f2fa2d8d3.pdf
Reproducing kernel method
Volterra-Fredholm
integro-differential equations
Approximation solution