ORIGINAL_ARTICLE
Generalization of Titchmarsh's Theorem for the Dunkl Transform
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
2016-11-01T11:23:20
2020-04-05T11:23:20
261
267
Dunkl transform
generalized spherical mean operator
Dunkl kernel
salah
El ouadih
salahwadihh@gmail.com
true
1
university
university
university
LEAD_AUTHOR
Radouan
Daher
salahwadih1@gmail.com
true
2
.
.
.
AUTHOR
ORIGINAL_ARTICLE
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
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
2016-11-01T11:23:20
2020-04-05T11:23:20
269
275
singular dierential operator
generalized Fourier-Bessel transform
generalized translation operator
salah
El ouadih
salahwadihh@gmail.com
true
1
university
university
university
LEAD_AUTHOR
ORIGINAL_ARTICLE
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
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
2016-11-01T11:23:20
2020-04-05T11:23:20
277
284
Fuzzy metric spaces
Generalized contraction mapping
Common xed point
Hamid
Mottaghi Golshan
motgolhamm@gmail.com
true
1
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
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
2016-11-01T11:23:20
2020-04-05T11:23:20
285
290
Morgan's theorem
generalized Fourier transform
Generalized Dunkl operator
Heisenberg inequality
Dunkl transform
Loualid
El Mehdi
mehdi.loualidd@gmail.com
true
1
university
university
university
LEAD_AUTHOR
ORIGINAL_ARTICLE
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
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
2016-11-01T11:23:20
2020-04-05T11:23:20
291
299
convergence
Fourth order method
Helmholtz equation
Maximum absolute error
Nonlinear problems
General problems
Pramod
Pandey
pramod_10p@hotmail.com
true
1
university
university
university
LEAD_AUTHOR
ORIGINAL_ARTICLE
The combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
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
2016-11-01T11:23:20
2020-04-05T11:23:20
301
312
Reproducing kernel method
Volterra-Fredholm
integro-differential equations
Approximation solution
Azizallah
Alvandi
alvandya@gmail.com
true
1
DASDDADAAAS
DASDDADAAAS
DASDDADAAAS
LEAD_AUTHOR
Mahmoud
Paripour
m_paripourr@yahoo.com
true
2
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156-579, Iran
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156-579, Iran
Department of Mathematics, Hamedan University of Technology,
Hamedan, 65156-579, Iran
AUTHOR