eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
1
14
531009
مقاله های تحقیقی
A new technique for solving Fredholm integro-differential equations using the reproducing kernel method
A new technique for solving Fredholm integro-differential equations using the reproducing kernel method
Razieh Ketabchi
1
Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Isfahan, Iran.
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.
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
Reproducing kernel method
integro-differential equations
Gram-Schmidt orthogonalization process
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
15
35
531010
مقاله های تحقیقی
Viscosity approximation methods for W-mappings in Hilbert space
Viscosity approximation methods for W-mappings in Hilbert space
HR Sahebi
1
.S Ebrahimi
2
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
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.
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
Nonexpansive mapping
equilibrium problems
strongly positive linear bounded operator
fixed point
Hilbert space
W-mapping
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
37
56
531011
مقاله های تحقیقی
Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions
Extend a ranking method of trapezoidal
fuzzy numbers to all fuzzy numbers by
a
weighting functions
Abolfazl Saiedifar
1
Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
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.
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
fuzzy numbers
Ranking
Weighting function
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
57
72
531012
مقاله های تحقیقی
Measurement of prot inefficiency in presence of interval data using the directional distance function
Measurement of prot inefficiency in
presence of interval data using the
directional distance function
Tayyebe Ahangari
1
Mohsen Rostami-Malkhalifeh
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.
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.
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
Measurement of prot
DMU
Interval data
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
73
87
531013
مقاله های تحقیقی
A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
A novel existence and uniqueness theorem
for solutions to FDEs driven by Lius
process with weak Lipschitz coefficients
S Siah-Mansouri
1
O. Solaymani Fard
2
M. M. Gachpazan
3
Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan.
Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
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.
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
fuzzy numbers
fuzzy differential equation
Liu's process
Credibility space condition
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
89
96
531014
مقاله های تحقیقی
The cosine method to Gardner equation and (2+1)- dimensional breaking soliton system
The cosine method to Gardner equation
and (2+1)- dimensional breaking soliton
system
Parvin Nabipour Kisomi
1
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid Kashani institute of Higher Education, Abyek, Qazvin, Iran.
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.
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
Gardner equation
cosine function method
Exact solution
(2+1)dimensional breaking soliton system
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-06-01
11
2
97
109
531016
مقاله های تحقیقی
Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels
Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels
Laleh Hooshangian
l-hooshangian@yahoo.com
1
Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran.
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.
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
General Nonlinear fuzzy integral equation
Existence theorem
Uniqueness theorem, Upper bound, Nonlinear fuzzy kernels