Generalization of Titchmarsh's Theorem for the Dunkl Transform
salah
El ouadih
university
author
Radouan
Daher
.
author
text
article
2016
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
261
267
http://ijm2c.iauctb.ac.ir/article_527655_655da811be873f72c62568a902f95d08.pdf
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
salah
El ouadih
university
author
text
article
2016
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
269
275
http://ijm2c.iauctb.ac.ir/article_527656_5bc418dd1e7d38a4c143a52f8db4139b.pdf
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
Hamid
Mottaghi Golshan
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
author
text
article
2016
eng
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].
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
277
284
http://ijm2c.iauctb.ac.ir/article_527657_e7a5558b4b2d31afed9ff7008e0ad355.pdf
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Loualid
El Mehdi
university
author
text
article
2016
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
285
290
http://ijm2c.iauctb.ac.ir/article_527658_b67f1b2b988a3c047f4f06910e7c53db.pdf
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
Pramod
Pandey
university
author
text
article
2016
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
291
299
http://ijm2c.iauctb.ac.ir/article_527659_c97fa5ec91bb5202976c89b818f0ae88.pdf
The combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
Azizallah
Alvandi
DASDDADAAAS
author
Mahmoud
Paripour
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156-579, Iran
author
text
article
2016
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
6
v.
4 (Fall)
no.
2016
301
312
http://ijm2c.iauctb.ac.ir/article_527660_149531c82f6fbfa92aad9f8f2fa2d8d3.pdf