2013
4
2
2
0
1

A finite difference method for the smooth solution of linear Volterra integral equations
https://ijnaa.semnan.ac.ir/article_19.html
10.22075/ijnaa.2013.19
1
The present paper proposes a fast numerical method for the linear Volterra integral equations with regular and weakly singular kernels having smooth solutions. This method is based on the approximation of the kernel, to simplify the integral operator and then discretization of the simplified operator using a forward difference formula. To analyze and verify the accuracy of the method, we examine sample and benchmark problems with known exact solutions.
0

1
10


M.
Jalalvand
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
Iran
m_djalal@iust.ac.ir


B.
Jazbi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Iran
jazbi@iust.ac.ir


M. R.
Mokhtarzadeh
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
Iran
mrmokhtarzadeh@ipm.ir
Integral equation
Linear Integral Equation
Weakly Singular Volterra
1

A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper halfplane
https://ijnaa.semnan.ac.ir/article_20.html
10.22075/ijnaa.2013.20
1
In this paper, we obtain a sufficient condition for boundedness of composition operators between weighted spaces of holomorphic functions on the upper halfplane whenever our weights are standard analytic weights, but they don't necessarily satisfy any growth condition.
0

11
14


M. A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Iran
m.ardalani@uok.ac.ir
differentiation operator
holomorphic functions
weighted spaces
upper halfplane
1

Common fixed point theorems for maps under a new contractive condition
https://ijnaa.semnan.ac.ir/article_21.html
10.22075/ijnaa.2013.21
1
In this paper fixed point and coincidence results are presented for two and three singlevalued mappings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi (2008).
0

15
25


S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Iran


E. A.
Audeganib
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Iran


D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Iran
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
1

Strong differential subordination and superordination of analytic functions associated with Komatu operator
https://ijnaa.semnan.ac.ir/article_22.html
10.22075/ijnaa.2013.22
1
Strong differential subordination and superordination properties are determined for some families analytic functions in the open unit disk which are associated with the Komatu operator by investigating appropriate classes of admissible functions. New strong differential sandwichtype results are also obtained.
0

26
44


M. P.
Jeyaramana
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India
India


T. K.
Suresh
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India
India


E.
Keshava Reddy
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India
India
Strong Differential Subordination
Strong Differential Superordination
Analytic functions
Admissible Functions
Hadamard product
1

Some new results using integration of arbitrary order
https://ijnaa.semnan.ac.ir/article_29.html
10.22075/ijnaa.2013.29
1
In this paper, we present recent results in integral inequality theory. Our results are based on the fractional integration in the sense of RiemannLiouville
0

45
52


A.
Anber
Department of Mathematics, USTO University of Oran, Algeria
Algeria


Z.
Dahmani
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
Algeria


B.
Bendoukha
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria
Algeria
Integral inequality
RiemannLiouville integral operator
1

Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
https://ijnaa.semnan.ac.ir/article_30.html
10.22075/ijnaa.2013.30
1
In this paper we propose and studied a new composite iterative scheme with certain control conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence ${x_n}$ defined by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [1, 4, 10].
0

53
61


V.
Dadashi
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Iran


S.
Ghafari
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Iran
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
1

Stochastic differential equations and integrating factor
https://ijnaa.semnan.ac.ir/article_31.html
10.22075/ijnaa.2013.31
1
The aim of this paper is the analytical solutions the family of firstorder nonlinear stochastic differential equations. We define an integrating factor for the large class of special nonlinear stochastic differential equations. With multiply both sides with the integrating factor, we introduce a deterministic differential equation. The results showed the accuracy of the present work.
0

62
67


R.
Rezaeyan
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
Iran


E
Baloui
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Iran
Stochastic differential equation
Analytical Solution
Integrating Factor
1

Existence of three positive solutions for nonsmooth functional involving the pbiharmonic operator
https://ijnaa.semnan.ac.ir/article_57.html
10.22075/ijnaa.2013.57
1
This paper is concerned with the study of the existence of positive solutions for a Navier boundary value problem involving the pbiharmonic operator; the right hand side of problem is a nonsmooth functional with variable parameters. The existence of at least three positive solutions is established by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results also yield an estimate on the norms of the solutions indepent of the parameters.
0

68
77


M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Iran


S.
Mir
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Iran
pbiharmonic
nonsmooth nonlinearity
Critical points
1

Totally probabilistic $L^p$ spaces
https://ijnaa.semnan.ac.ir/article_58.html
10.22075/ijnaa.2013.58
1
In this paper, we introduce the notion of probabilistic valued measures as a generalization of nonnegative measures and construct the corresponding $L^p$ spaces, for distributions $p > varepsilon_0$. It is also shown that if the distribution $p$ satisfies $p > varepsilon_1$ then, as in the classical case, these spaces are complete probabilistic normed spaces.
0

78
88


F.
Bahrami
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Iran


M.
Mohammadbaghban
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Iran
probabilistic normed space
probabilistic valued measure
probabilistic $L^p$ spaces
1

A fixed point approach to the HyersUlam stability of an $AQ$ functional equation in probabilistic modular spaces
https://ijnaa.semnan.ac.ir/article_60.html
10.22075/ijnaa.2013.60
1
In this paper, we prove the HyersUlam stability in$beta$homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(xky)=f(x+y)+f(xy)+frac{2(k+1)}{k}f(ky)2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$
0

89
101


S.
Zolfaghari
Department of Mathematics, Urmia University, Urmia, Iran
Iran


A.
Ebadian
Department of Mathematics, Urmia University, Urmia, Iran
Iran


S.
Ostadbashi
Department of Mathematics, Urmia University, Urmia, Iran
Iran


M.
De La Sen
Institute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia)  Aptdo.
644 Bilbao, 48080 Bilbao, Spain
Spain


M.
Eshaghi Gordji
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan
35195363, Iran
Iran
HyersUlam stability
AQ functional Equation
Fixed point
Probabilistic Modular Space