2013
4
2
2
0
A finite difference method for the smooth solution of linear Volterra integral equations
2
2
The present paper proposes a fast numerical method for the linear Volterra integral equations withregular 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 simpliedoperator using a forward dierence formula. To analyze and verify the accuracy of the method, weexamine sample and benchmark problems with known exact solutions.
1

1
10


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


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


M. R.
Mokhtarzadeh
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
School of Mathematics, Institute for Research
Iran
mrmokhtarzadeh@ipm.ir
Integral Equation
Linear Integral Equation
Weakly Singular Volterra
A remark on boundedness of composition operators
between weighted spaces of holomorphic functions on the upper halfplane
2
2
In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper halfplane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
1

11
14


M. A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Department of Mathematics, Faculty of Science,
Iran
m.ardalani@uok.ac.ir
dierentiation operator
holomorphic functions
weighted spaces
upper halfplane
Common fixed point theorems for maps under a new contractive condition
2
2
In this paper xed 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).
1

15
25


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


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


D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science,
Iran
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
Strong differential subordination and superordination of analytic functions associated with Komatu operator
2
2
Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwichtype results arealso obtained.
1

26
44


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


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


E.
Keshava Reddy
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
Department of Mathematics, Jawaharlal Nehru
Iran
Some new results
using integration of arbitrary order
2
2
In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of RiemannLiouville
1

45
52


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


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


B.
Bendoukha
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of Exact Science and Informatics,
Iran
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
2
2
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 xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the corresponding results of [1, 4, 10].
1

53
61


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


S.
Ghafari
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University
Iran
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
Stochastic differential equations and integrating factor
2
2
The aim of this paper is the analytical solutions the family of rstorder nonlinear stochastic differentialequations. We dene an integrating factor for the large class of special nonlinear stochasticdierential equations. With multiply both sides with the integrating factor, we introduce a deterministicdierential equation. The results showed the accuracy of the present work.
1

62
67


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


E
Baloui
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Statistics, Qaemshahr Branch,
Iran
Stochastic Differential Equation
analytical solution
Integrating Factor
Existence of three positive solutions for nonsmooth
functional involving the pbiharmonic operator
2
2
This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the pbiharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. The existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. Our resultsalso yield an estimate on the norms of the solutions indepent of the parameters.
1

68
77


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


S.
Mir
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Department of Mathematics, Faculty of Basic
Iran
pbiharmonic
nonsmooth nonlinearity
Critical points
Totally probabilistic Lp spaces
2
2
In this paper, we introduce the notion of probabilistic valued measures as a generalization of nonnegative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.
1

78
88


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


M.
Mohammadbaghban
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan
Iran
probabilistic normed space
probabilistic valued measure
probabilistic Lp spaces
A fixed point approach to the HyersUlam stability of an $AQ$ functional equation in probabilistic modular spaces
2
2
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 $kneq 0,pm1.$
1

89
101


S.
Zolfaghari


Iran


A.
Ebadian


Iran


S.
Ostadbashi


Iran


M.
De La Sen


Iran


M.
Eshaghi Gordji
Iran
HyersUlam stability
AQ functional Equation
fixed point
Probabilistic Modular Space