ORIGINAL_ARTICLE
A finite difference method for the smooth solution of linear Volterra integral equations
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.
https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
20130601T11:23:20
20200705T11:23:20
1
10
10.22075/ijnaa.2013.19
Integral equation
Linear Integral Equation
Weakly Singular Volterra
M.
Jalalvand
m_djalal@iust.ac.ir
true
1
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
AUTHOR
B.
Jazbi
jazbi@iust.ac.ir
true
2
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
AUTHOR
M. R.
Mokhtarzadeh
mrmokhtarzadeh@ipm.ir
true
3
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A remark on boundedness of composition operators
between weighted spaces of holomorphic functions on the upper halfplane
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.
https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
20130601T11:23:20
20200705T11:23:20
11
14
10.22075/ijnaa.2013.20
dierentiation operator
holomorphic functions
weighted spaces
upper halfplane
M. A.
Ardalani
m.ardalani@uok.ac.ir
true
1
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Common fixed point theorems for maps under a new contractive condition
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).
https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
20130601T11:23:20
20200705T11:23:20
15
25
10.22075/ijnaa.2013.21
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
S.
Moradi
true
1
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
LEAD_AUTHOR
E. A.
Audeganib
true
2
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
AUTHOR
D.
Alimohammadi
true
3
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
AUTHOR
ORIGINAL_ARTICLE
Strong differential subordination and superordination of analytic functions associated with Komatu operator
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.
https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
20130601T11:23:20
20200705T11:23:20
26
44
10.22075/ijnaa.2013.22
M. P.
Jeyaramana
true
1
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India.
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India.
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India.
LEAD_AUTHOR
T. K.
Suresh
true
2
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India.
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India.
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India.
AUTHOR
E.
Keshava Reddy
true
3
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
AUTHOR
ORIGINAL_ARTICLE
Some new results
using integration of arbitrary order
In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of RiemannLiouville
https://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
20130601T11:23:20
20200705T11:23:20
45
52
10.22075/ijnaa.2013.29
A.
Anber
true
1
Department of Mathematics, USTO University of Oran, Algeria.
Department of Mathematics, USTO University of Oran, Algeria.
Department of Mathematics, USTO University of Oran, Algeria.
AUTHOR
Z.
Dahmani
true
2
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria.
LEAD_AUTHOR
B.
Bendoukha
true
3
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
AUTHOR
ORIGINAL_ARTICLE
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
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].
https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
20130601T11:23:20
20200705T11:23:20
53
61
10.22075/ijnaa.2013.30
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
V.
Dadashi
true
1
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
LEAD_AUTHOR
S.
Ghafari
true
2
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
AUTHOR
ORIGINAL_ARTICLE
Stochastic differential equations and integrating factor
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.
https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
20130601T11:23:20
20200705T11:23:20
62
67
10.22075/ijnaa.2013.31
Stochastic Differential Equation
Analytical Solution
Integrating Factor
R.
Rezaeyan
true
1
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
LEAD_AUTHOR
E
Baloui
true
2
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
AUTHOR
ORIGINAL_ARTICLE
Existence of three positive solutions for nonsmooth
functional involving the pbiharmonic operator
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.
https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
20130601T11:23:20
20200705T11:23:20
68
77
10.22075/ijnaa.2013.57
pbiharmonic
nonsmooth nonlinearity
Critical points
M. B.
Ghaemi
true
1
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
LEAD_AUTHOR
S.
Mir
true
2
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Totally probabilistic Lp spaces
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.
https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
20130601T11:23:20
20200705T11:23:20
78
88
10.22075/ijnaa.2013.58
probabilistic normed space
probabilistic valued measure
probabilistic Lp spaces
F.
Bahrami
true
1
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
LEAD_AUTHOR
M.
Mohammadbaghban
true
2
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
AUTHOR
ORIGINAL_ARTICLE
A fixed point approach to the HyersUlam stability of an $AQ$ functional equation in probabilistic modular spaces
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 $k\neq 0,\pm1.$
https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf
20130601T11:23:20
20200705T11:23:20
89
101
10.22075/ijnaa.2013.60
HyersUlam stability
AQ functional Equation
Fixed point
Probabilistic Modular Space
S.
Zolfaghari
true
1



AUTHOR
A.
Ebadian
true
2



AUTHOR
S.
Ostadbashi
true
3



AUTHOR
M.
De La Sen
true
4



AUTHOR
M.
Eshaghi Gordji
true
5
LEAD_AUTHOR