The Mathematical Sciences is a peer

Mathematical Sciences
Quarterly Journal
(An Edition of Islamic Azad University-Karaj Branch)
Volume 5, Number 4
December 2011
138012 ‫امین جلسه کمیسیون بررسی و تایید مجالت علمی دانشگاه آزاد اسالمی و بر اساس نامه شماره‬55 ‫به استناد‬
.‫ مجله علوم ریاضی دانشگاه آزاد اسالمی واحد کرج به درجه علمی – پژوهشی ارتقاء یافت‬،1388/4/27 ‫مورخ‬
Abstracting/Indexing:
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Directory of open access journals (DOAJ)
IndexCopernicus International
Islamic World Science Citation Center (ISC)
MathSciNet
Zentralblatt
Department of Mathematics, Karaj Branch, Islamic Azad University, P.O. Box 31485313, Karaj, Iran.
License Holder: Islamic Azad University-Karaj Branch
Editor-in-Chief:
K. Maleknejad, Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
http://webpages.iust.ac.ir/maleknejad/
Director:
M. Zohrehbandian, Assistant Prof.
Department of Mathematics, Islamic Azad University-Karaj Branch, Karaj, Iran.
[email protected]
Executive Manager:
M. Khodabin, Assistant Prof.
Department of Mathematics, Islamic Azad University-Karaj Branch, Karaj, Iran.
[email protected]
Editorial Board:
Ravi P. Agarwal, Prof.
Department of Mathematics, Florida Institute of Technology, Melbourne, FL, USA.
[email protected]
http://cos.fit.edu/math/faculty/agarwal/
Member of Editorial Board: Nonlinear Oscillations
H.R. Arabnia, Prof.
Department of Computer Science, University of Georgia, Athens, Georgia, USA.
[email protected]
http://www.cs.uga.edu/~hra/
Editor-in-chief: The Journal of Super Computing
Co-Chair: World Academy of Science
Weimin Han, Prof.
Department of Mathematics, University of Iowa, Iowa city, IA 52242, USA.
[email protected]
http://www.math.uiowa.edu/~whan/
Associate Editor: Journal of Computational Analysis and Applications
Associate Editor: Journal of Applied Functional Analysis
B.N. Mandal, Prof.
Department of Physics and Applied Mathematics, Indian Statistical Institute, Kolkata, India.
[email protected]
Katta Murty, Prof.
Department of Industrial and Operations Engineering, University of Michigan, USA.
[email protected]
http://www-personal.umich.edu/~murty/
Donal O'Regan, Prof.
Department of Mathematics, National University of Ireland, Galway, Ireland.
[email protected]
E. Shayan, Prof.
Department of Operations Management, Bang College of Business, KIMEP, Almaty, KZ.
[email protected]
http://www.shayan.com.au/
Patricia J.Y. Wong, Prof.
Scholl of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue,
Singapore.
[email protected]
http://www3.ntu.edu.sg/eee/eee4/cv/ejywong.htm
Rosihan Ali, Prof.
School of Mathematical Sciences, Universiti Sains Malaysia.
[email protected]
http://math.usm.my/rosihan/
Editor in Chief: Bulletin of the Malaysian Mathematical Sciences Society
S. Abbasbandy, Prof.
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
[email protected]
A. Aghajani, Associate Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
M. Alaeiyan, Associate Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
M.B. Aryanezhad, Prof.
Department of Industrial Engineering, Iran University of Science & Technology, Tehran, Iran.
[email protected]
E. Babolian, Prof.
Department of Mathematics, Teacher Training University, Tehran, Iran.
[email protected]
M. R. Derafsheh, Prof.
Department of Mathematics, Tehran University, Tehran, Iran.
[email protected]
S.M. Hashemiparast, Associate Prof.
Department of Mathematics, K.N. Toosi University of Technology, Tehran, Iran.
[email protected]
S.M. Hoseini, Prof.
Department of Mathematics, Tarbiat Modarres University (TMU), Tehran, Iran.
[email protected]
E. Khorram, Associate Prof.
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.
[email protected]
M. Mashinchi, Prof.
Department of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman,
Iran.
[email protected]
N. Mahdavi-Amiri, Prof.
Department of Mathematics, Sharif University of Technology, Tehran, Iran.
[email protected]
http://mathsci.sharif.edu/nezamm
A. Mamorian, Prof.
Department of Mathematics, Tehran University, Tehran, Iran.
[email protected]
B. Mehri, Prof.
Department of Mathematics, Sharif University of Technology, Tehran, Iran.
[email protected]
http://mathsci.sharif.edu/mehri
K. Mirnia, Associate Prof.
Department of Mathematics, Tabriz University, Tabriz, Iran.
[email protected]
M. Najafikhah, Associate Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
R. Noorossana, Prof.
Department of Industrial Engineering, Iran University of Science & Technology, Tehran, Iran.
[email protected]
http://ie.iust.ac.ir/noorossan
Y. Rahimi Ardabili, Prof.
Department of Mathematics, Tabriz University, Tabriz, Iran.
[email protected]
J. Rashidinia, Associate Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
http://webpages.iust.ac.ir/rashidinia
D. Shadman, Prof.
Department of Mathematics, Sharif University of Technology, Tehran, Iran.
[email protected]
http://mathsci.sharif.edu/shadman
A. Shidfar, Prof.
Department of Mathematics, Iran University of Science & Technology, Tehran, Iran.
[email protected]
M. Toomanian, Prof.
Department of Mathematics, Islamic Azad University-Karaj Branch, Karaj, Iran.
[email protected]
Mathematical Sciences
Quarterly Journal
Vol. 5, No. 4, December 2011
Contents
R. Ansari , R. Gholami , K. Hosseini “A sixth-order compact finite difference method
for free vibration analysis of Euler-Bernoulli beams”
307
Habib Hoseini and Hassan Azadi Kenary “Stability of Cubic Functional Equations
in Non-Archimedean Normed Spaces”
A. Beitollahi, P. Azhdari “A
metric space”
321
B Contraction theorem in probabilistic
337
J. Rashidinia, H. Khosravian Arab, A. Parsa “Gauss-Legendre quadrature for
solution of Hammerstein integral equations”
345
E. Hashemizadeh, B. Basirat “An efficient computational method for the system of
linear Volterra integral equations by means of hybrid functions”
355
Amin Mahmoodi “Approximately Injectivity for Banach modules”
369
Behshid Kasmaie “The scalar curvature of conformal Finsler manifold”
381
A. Gelayeri, M. Rabbani “New Technique in Semi-Analytic Method for Solving
Non-Linear Differential Equations”
397
Aims and Scopes
The Mathematical Sciences is a peer-reviewed mathematical journal to be
published quarterly in English from 2007, with enlarged scope and aims. As a
multi-disciplinary quarterly publication, the main aims and scope of the journal
is publishing of refereed, high quality original research papers in all areas of
pure and applied mathematics and statistics. This journal will also publish
articles containing interesting applications of mathematics even though there
may be no new techniques involved. It is important that they be actual cases of
interest. Furthermore, when appropriate, the journal will also include comments
from its readers on the journal articles, and discussions of significant work in
progress or papers presented or published elsewhere.
Call for Papers
The authors are invited to submit papers online. Manuscripts submitted to this
journal will be considered for publication with the understanding that the same
work has not been published and is not under consideration for publication
elsewhere. The papers submitted to the journal are refereed within 3 months.
For review purposes, the authors are encouraged to submit two copies of their
papers electronically and as PDF format to the editorial board of the journal
of Mathematical Sciences. One copy of them must be prepared without author's
names. After the acceptance, the authors are advised to look at the style file
template (see website of the journal) and prepare their works using it. However,
we hope that your collaboration and support to be consistent and the journal
benefits from your well-established new researches.
Subscription Rates
Please contact us for the latest rates and pricing information.
Watch the website for more details.
http://mathscience.kiau.ac.ir/
[email protected]
Mathematical Sciences Quarterly Journal is likely to publish a special issue
dedicated to Prof. MK Jain for his contribution to several areas of Numerical
Analysis and Applied Mathematics. The authors are invited to submit high quality
research papers in all areas explored by Prof. M.K. Jain.
We would like to thank you for your contribution and we have no doubt that he
would have been very proud of this collection of papers and we are happy to
dedicate it to him.
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Last date of submission: End of April 2012
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Notification of acceptance: End of July 2012
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Special Issue will appear on: Last Issue in 2012
Jalil Rashidinia
Fax: +982173225487
Tel: +982173225487
Email:[email protected]