ORIGINAL_ARTICLE
A new technique for solving Fredholm integro-differential equations using the reproducing kernel method
This paper is concerned with a technique for solving Fredholm integro-dierentialequations in the reproducing kernel Hilbert space. In contrast with the conventionalreproducing kernel method, the Gram-Schmidt process is omitted hereand satisfactory results are obtained. The analytical solution is represented inthe form of series. An iterative method is given to obtain the approximate solution.The convergence analysis is established theoretically. The applicabilityof the iterative method is demonstrated by testing some various examples.
http://msj.iau-arak.ac.ir/article_531009_54c803073b57fb96743243c63d1290cb.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
1
14
Razieh
Ketabchi
true
1
Department of Mathematics, Mobarakeh Branch, Islamic Azad University,
Mobarakeh, Isfahan, Iran.
Department of Mathematics, Mobarakeh Branch, Islamic Azad University,
Mobarakeh, Isfahan, Iran.
Department of Mathematics, Mobarakeh Branch, Islamic Azad University,
Mobarakeh, Isfahan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Viscosity approximation methods for W-mappings in Hilbert space
We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.
http://msj.iau-arak.ac.ir/article_531010_e8cfe970c4c4a73fad7d5afb2d2d5c65.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
15
35
HR
Sahebi
true
1
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
LEAD_AUTHOR
.S
Ebrahimi
true
2
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
AUTHOR
ORIGINAL_ARTICLE
Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions
Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and optimizing engineering and economics problemsin a fuzzy environment.
http://msj.iau-arak.ac.ir/article_531011_c8854bc2cd9257cdcf4fea5acd21ea54.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
37
56
Abolfazl
Saiedifar
true
1
Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Measurement of prot inefficiency in presence of interval data using the directional distance function
In many applied programs in real-life problems, both physical inputs and outputsare heterogeneous which in this case the ecient cost and income modelcan not apply to evaluate the cost and income of related turnover. So, a measurementbased on the directional value of prot was presented which we havedeveloped it in this paper and have computed it for interval data. In fact, wehave measured the ineciency of cost in presence of interval data using thedirectional distance function which is mostly meaningful for those companiesthat their essential behavioral goals are maximizing the prot with least ambiguity.To this end, considering some branches of Tejarat bank in Iran, theeciency of prot in presence of interval data is computed by means of thedistance directional function.
http://msj.iau-arak.ac.ir/article_531012_e4f3b6e938d7d1b97e41ee9bb1295cb1.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
57
72
Tayyebe
Ahangari
true
1
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
AUTHOR
Mohsen
Rostami-Malkhalifeh
true
2
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy dierential equationsdriven by Liu's process.
http://msj.iau-arak.ac.ir/article_531013_1bf6fdf2efbc61f9cbe539931052feb8.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
73
87
S
Siah-Mansouri
true
1
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
AUTHOR
O.
Solaymani Fard
true
2
Department of Applied Mathematics, School of Mathematics and Computer
Science, Damghan University, Damghan.
Department of Applied Mathematics, School of Mathematics and Computer
Science, Damghan University, Damghan.
Department of Applied Mathematics, School of Mathematics and Computer
Science, Damghan University, Damghan.
LEAD_AUTHOR
M.
M. Gachpazan
true
3
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
AUTHOR
ORIGINAL_ARTICLE
The cosine method to Gardner equation and (2+1)- dimensional breaking soliton system
In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.
http://msj.iau-arak.ac.ir/article_531014_62275d7b4c777d80329528680285754f.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
89
96
Parvin
Nabipour Kisomi
true
1
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid
Kashani institute of Higher Education, Abyek, Qazvin, Iran.
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid
Kashani institute of Higher Education, Abyek, Qazvin, Iran.
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid
Kashani institute of Higher Education, Abyek, Qazvin, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels
Fuzzy integral equations have a major role in the mathematics and applications.In this paper, general fuzzy integral equations with nonlinear fuzzykernels are introduced. The existence and uniqueness of their solutions areapproved and an upper bound for them are determined. Finally an algorithmis drawn to show theorems better.
http://msj.iau-arak.ac.ir/article_531016_dd7cc831d227125525751dcb3b3837fa.pdf
2017-06-01T11:23:20
2018-01-22T11:23:20
97
109
Laleh
Hooshangian
l-hooshangian@yahoo.com
true
1
Department of Mathematics, Dezful Branch, Islamic Azad University,
Dezful, Iran.
Department of Mathematics, Dezful Branch, Islamic Azad University,
Dezful, Iran.
Department of Mathematics, Dezful Branch, Islamic Azad University,
Dezful, Iran.
LEAD_AUTHOR