2019-05-24T00:17:07Z
http://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=3802
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
On exponentiable soft topological spaces
Ghasem
Mirhosseinkhani
Ahmad
Mohammadhasani
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
2016
11
01
1
14
http://scma.maragheh.ac.ir/article_22216_6c2f05eb0b9ad6ca148f19bd3ef7cb1d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
Somayeh
Nemati
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
2016
11
01
15
27
http://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
Convergence analysis of the sinc collocation method for integro-differential equations system
Mohammad
Zarebnia
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
2016
11
01
29
42
http://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
Construction of continuous $g$-frames and continuous fusion frames
Mahdiyeh
Khayyami
Akbar
Nazari
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
2016
11
01
43
55
http://scma.maragheh.ac.ir/article_22217_ae4c4518ab8f84876feb316820fad8b5.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
Sohrab
Bazm
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
2016
11
01
57
77
http://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
On isomorphism of two bases in Morrey-Lebesgue type spaces
Fatima. A.
Guliyeva
Rubaba H.
Abdullayeva
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
2016
11
01
79
90
http://scma.maragheh.ac.ir/article_22226_0b34cf5e5a4f7c322ff3393fa083fff2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
Results of the Chebyshev type inequality for Pseudo-integral
Bayaz
Daraby
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
2016
11
01
91
100
http://scma.maragheh.ac.ir/article_22517_0bef1cf731c3d726fdeb91ce4bbaa098.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2016
04
1
On rarely generalized regular fuzzy continuous functions in fuzzy topological spaces
Appachi
Vadivel
Elangovan
Elavarasan
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
2016
11
01
101
108
http://scma.maragheh.ac.ir/article_22227_4d3396deccfe38f3630b7cb9f2880ead.pdf