University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
On exponentiable soft topological spaces
1
14
EN
Ghasem
Mirhosseinkhani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
gh.mirhosseini@yahoo.com
Ahmad
Mohammadhasani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
a.mohammadhasani@sirjantech.ac.ir
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.
Soft set theory,Soft topology,Exponentiable object
https://scma.maragheh.ac.ir/article_22216.html
https://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
15
27
EN
Somayeh
Nemati
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
s.nemati@umz.ac.ir
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.
Fractional optimal control problems,Caputo fractional derivative,Riemann-Liouville fractional integral,Second-kind Chebyshev polynomials,Operational matrix
https://scma.maragheh.ac.ir/article_20586.html
https://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
Convergence analysis of the sinc collocation method for integro-differential equations system
29
42
EN
Mohammad
Zarebnia
Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.
zarebnia@uma.ac.ir
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.
Fredholm integro-differential,System of equation,Sinc function,Convergence
https://scma.maragheh.ac.ir/article_20588.html
https://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
Construction of continuous $g$-frames and continuous fusion frames
43
55
EN
Mahdiyeh
Khayyami
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
mahdiyehkhayyami@yahoo.com
Akbar
Nazari
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
nazari@mail.uk.ac.ir
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.
Fusion frame,Continuous fusion frame,Continuous $g$-frame,Continuous resolution
https://scma.maragheh.ac.ir/article_22217.html
https://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
57
77
EN
Sohrab
Bazm
Department of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.
sbazm@maragheh.ac.ir
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.
Nonlinear Volterra-Hammerstein integral equations,Alternative Legendre polynomials,Operational matrix,Collocation method
https://scma.maragheh.ac.ir/article_22018.html
https://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
On isomorphism of two bases in Morrey-Lebesgue type spaces
79
90
EN
Fatima. A.
Guliyeva
Institute of Mathematics and Mechanics of NAS of Azerbaijan, Az1141, Baku, Azerbaijan.
quliyeva-fatima@mail.ru
Rubaba H.
Abdullayeva
Math teacher at the school No 297, Baku, Azerbaijan.
rubab.aliyeva.ra@gmail.com
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.
Morrey-Lebesgue type space,System of exponents,Isomorphism,Basicity
https://scma.maragheh.ac.ir/article_22226.html
https://scma.maragheh.ac.ir/article_22226_0b34cf5e5a4f7c322ff3393fa083fff2.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
Results of the Chebyshev type inequality for Pseudo-integral
91
100
EN
Bayaz
Daraby
0000-0001-6872-8661
Department of Mathematics, University of Maragheh, Maragheh, Iran.
bdaraby@maragheh.ac.ir
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.
Additive measure,Chebyshev type inequality,Pseudo-addition,Pseudo-multiplication,Pseudo-integral,Comonotone function,$s$-decomposable fuzzy measure
https://scma.maragheh.ac.ir/article_22517.html
https://scma.maragheh.ac.ir/article_22517_0bef1cf731c3d726fdeb91ce4bbaa098.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
04
1
2016
11
01
On rarely generalized regular fuzzy continuous functions in fuzzy topological spaces
101
108
EN
Appachi
Vadivel
0000-0001-5970-035X
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
avmaths@gmail.com
Elangovan
Elavarasan
0000-0001-9086-4010
Research scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
maths.aras@gmail.com
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.
Rarely generalized regular fuzzy continuous,Grf-compact space,Rarely grf-almost compact space,Rarely grf-$T_{2}$-spaces
https://scma.maragheh.ac.ir/article_22227.html
https://scma.maragheh.ac.ir/article_22227_4d3396deccfe38f3630b7cb9f2880ead.pdf