eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
1
14
22216
مقاله پژوهشی
On exponentiable soft topological spaces
Ghasem Mirhosseinkhani
gh.mirhosseini@yahoo.com
1
Ahmad Mohammadhasani
a.mohammadhasani@sirjantech.ac.ir
2
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalization of the category $mathbf{Top}$. We investigate the exponentiability problem and give a characterization of exponentiable soft spaces. Also we<br />give the definition of exponential topology on the lattice of soft open sets of a soft space and present some characterizations of it.
http://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf
Soft set theory
Soft topology
Exponentiable object
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
15
27
20586
مقاله پژوهشی
A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
Somayeh Nemati
s.nemati@umz.ac.ir
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.
http://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf
Fractional optimal control problems
Caputo fractional derivative
Riemann-Liouville fractional integral
Second-kind Chebyshev polynomials
Operational matrix
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
29
42
20588
مقاله پژوهشی
Convergence analysis of the sinc collocation method for integro-differential equations system
Mohammad Zarebnia
zarebnia@uma.ac.ir
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.
In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.
http://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf
Fredholm integro-differential
System of equation
Sinc function
Convergence
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
43
55
22217
مقاله پژوهشی
Construction of continuous $g$-frames and continuous fusion frames
Mahdiyeh Khayyami
mahdiyehkhayyami@yahoo.com
1
Akbar Nazari
nazari@mail.uk.ac.ir
2
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion frames in Hilbert spaces.
http://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf
Fusion frame
Continuous fusion frame
Continuous $g$-frame
Continuous resolution
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
57
77
22018
مقاله پژوهشی
Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
Sohrab Bazm
sbazm@maragheh.ac.ir
1
Department of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.
Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.
http://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf
Nonlinear Volterra-Hammerstein integral equations
Alternative Legendre polynomials
Operational matrix
Collocation method
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
79
90
22226
مقاله پژوهشی
On isomorphism of two bases in Morrey-Lebesgue type spaces
Fatima. A. Guliyeva
quliyeva-fatima@mail.ru
1
Rubaba H. Abdullayeva
rubab.aliyeva.ra@gmail.com
2
Institute of Mathematics and Mechanics of NAS of Azerbaijan, Az1141, Baku, Azerbaijan.
Math teacher at the school No 297, Baku, Azerbaijan.
Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type space on $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.
http://scma.maragheh.ac.ir/article_22226_0b34cf5e5a4f7c322ff3393fa083fff2.pdf
Morrey-Lebesgue type space
System of exponents
Isomorphism
Basicity
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
91
100
22517
مقاله پژوهشی
Results of the Chebyshev type inequality for Pseudo-integral
Bayaz Daraby
bdaraby@maragheh.ac.ir
1
Department of Mathematics, University of Maragheh, Maragheh, Iran.
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
http://scma.maragheh.ac.ir/article_22517_0bef1cf731c3d726fdeb91ce4bbaa098.pdf
Additive measure
Chebyshev type inequality
Pseudo-addition
Pseudo-multiplication
Pseudo-integral
Comonotone function
$s$-decomposable fuzzy measure
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2016-11-01
04
1
101
108
22227
مقاله پژوهشی
On rarely generalized regular fuzzy continuous functions in fuzzy topological spaces
Appachi Vadivel
avmaths@gmail.com
1
Elangovan Elavarasan
maths.aras@gmail.com
2
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
Research scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
In this paper, we introduce the concept of rarely generalized regular fuzzy continuous functions in the sense of A.P. Sostak's and Ramadan is introduced. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.
http://scma.maragheh.ac.ir/article_22227_4d3396deccfe38f3630b7cb9f2880ead.pdf
Rarely generalized regular fuzzy continuous
Grf-compact space
Rarely grf-almost compact space
Rarely grf-$T_{2}$-spaces