per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
1
3
515304
Research Articles
Some notes on the existence of an inequality in Banach algebra
Some notes on the existence of an
inequality in Banach algebra
M. Asadi
masadi@azu.ac.ir
1
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.
http://msj.iau-arak.ac.ir/article_515304_46a046c6c9f4c6e9c77d9c407ae5736c.pdf
Banach algebra
Norm inequality
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
5
18
515305
Research Articles
Module contractibility for semigroup algebras
Module contractibility for semigroup
algebras
Abasalt Bodaghi
abasalt.bodaghi@gmail.com
1
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
In this paper, we nd the relationships between module contractibility of aBanach algebra and its ideals. We also prove that module contractibility ofa Banach algebra is equivalent to module contractibility of its module uniti-zation. Finally, we show that when a maximal group homomorphic image ofan inverse semigroup S with the set of idempotents E is nite, the moduleprojective tensor product l1(S)×l1(E)l1(S) is l1(E)-module contractible.
http://msj.iau-arak.ac.ir/article_515305_e79dc62d660dc926fc8df59fa7cdf0c6.pdf
Banach module
module contractibleity
module derivation
inverse semi-groups
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
19
38
515306
Research Articles
A goal programming procedure for ranking decision making units in DEA
A goal programming procedure for ranking
decision making units in DEA
Farhad Hosseinzadeh-Lotfi
1
Mohammad Izadikhah
m-izadikhah@iau-arak.ac.ir,m izadikhah@yahoo.com
2
R. Roostaee
3
Mohsen Rostamy-Malkhalifeh
4
Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University, Arak Branch, Arak Branch, Iran.
Department of Mathematics, Islamic Azad University, Arak Branch, Arak Branch, Iran.
Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
This research proposes a methodology for ranking decision making units byusing a goal programming model.We suggest a two phases procedure. In phase1, by using some DEA problems for each pair of units, we construct a pairwisecomparison matrix. Then this matrix is utilized to rank the units via the goalprogramming model.
http://msj.iau-arak.ac.ir/article_515306_d1395b0ec7c0fa84b8dcbe2f43890679.pdf
Data envelopment analysis
Pairwise comparison matrix
Goal
programming
Ranking
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
39
54
515307
Research Articles
A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization
A numerical approach for solving a
nonlinear inverse diusion problem by
Tikhonov regularization
H. Molhem
molhem@kiau.ac.ir
1
R. Pourgholi
2
M. Borghei
3
Department of Physics , Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran
School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran.
Department of Physics , Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran.
In this paper, we propose an algorithm for numerical solving an inverse non-linear diusion problem. In additional, the least-squares method is adopted tond the solution. To regularize the resultant ill-conditioned linear system ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con-rm the utility of this algorithm as the results are in good agreement with theexact data.
http://msj.iau-arak.ac.ir/article_515307_344e497c5932fb79645002ff08aad47f.pdf
Inverse nonlinear diusion problem
Laplace Transform
Finite
dierence method
Least-squares method
Regularization method
SVD
Method
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
55
66
515308
Research Articles
A method for solving fully fuzzy linear system
A method for solving fully fuzzy linear
system
M. Mosleh
1
S. Abbasbandy
abbasbandy@yahoo.com
2
M. Otadi
3
Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran.
Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran.
In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting of m non-negative fuzzy numbers.
http://msj.iau-arak.ac.ir/article_515308_3d4f47473aa6158288ff114397090b80.pdf
Fuzzy number
Fuzzy linear system
Minimal solution
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
67
78
515309
Research Articles
Positive solution for boundary value problem of fractional dierential equation
Positive solution for boundary value
problem of fractional dierential equation
Haidong Qu
qhaidong@163.com
1
Department of Mathematics and Information, Hanshan Normal University, Chaozhou, Guangdong, 521041, P. R. China
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
http://msj.iau-arak.ac.ir/article_515309_7fa3a7bb0c55e284fe959db488359f10.pdf
Fractional differential equation
Krasnoselskii's fixed point
theorem
Boundary value problem
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
79
92
515310
Research Articles
An approach for simultaneously determining the optimal trajectory and control of a cancerous model
An approach for simultaneously
determining the optimal trajectory and
control of a cancerous model
Hamid Reza Sahebi
sahebi@mail.aiau.ac.ir
1
S. Ebrahimi
2
Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran.
Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran.
The main attempt of this article is extension the method so that it generallywould be able to consider the classical solution of the systems and moreover,produces the optimal trajectory and control directly at the same time. There-fore we consider a control system governed by a bone marrow cancer equation.Next, by extending the underlying space, the existence of the solution is con-sidered and pair of the solution are identied simultaneously. In this mannera numerical example is also given.
http://msj.iau-arak.ac.ir/article_515310_e29338c358ee700e93c3c2d8c069cfb9.pdf
Optimal Trajectory
Cancerous Model
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
93
103
515311
Research Articles
Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method
Numerical solution of Hammerstein
Fredholm and Volterra integral equations
of the second kind using block pulse
functions and collocation method
M. M. Shamivand
m.shamivand@yahoo.com
1
A. Shahsavaran
2
Department of Mathematics, Islamic Azad University, Borujerd Branch, Borujerd, Iran.
Department of Mathematics, Islamic Azad University, Borujerd Branch, Borujerd, Iran.
In this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method.
http://msj.iau-arak.ac.ir/article_515311_4a34919d52ff4d75af52fd67e76eafae.pdf
Hammerstein Fredholm and Volterra integral equations
Block
Pulse functions
Collocation method
per
دانشگاه آزاد اسلامی اراک
نظریه تقریب و کاربرد های آن
2538-2217
2538-2217
2012-01-01
7
2
105
130
515312
Research Articles
A three-step method based on Simpson's 3/8 rule for solving system of nonlinear Volterra integral equations
A three-step method based on Simpson's
3/8 rule for solving system of nonlinear
Volterra integral equations
M. Tavassoli-Kajani
mtavassoli@khuisf.ac.ir
1
L. Kargaran-Dehkordi
2
Sh. Hadian-Jazi
3
Department of Mathematics, Islamic Azad University, Khorasgan Branch, Isfahan, Iran.
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
This paper proposes a three-step method for solving nonlinear Volterra integralequations system. The proposed method convents the system to a (3 × 3)nonlinear block system and then by solving this nonlinear system we ndapproximate solution of nonlinear Volterra integral equations system. To showthe advantages of our method some numerical examples are presented.
http://msj.iau-arak.ac.ir/article_515312_81d88278ff9347da3f87efef78146ddb.pdf
Block by block method
System of Volterra integral equations
Simpson's 3/8 rule