A new technique for solving Fredholm integro-differential equations using the reproducing kernel method
Razieh
Ketabchi
Department of Mathematics, Mobarakeh Branch, Islamic Azad University,
Mobarakeh, Isfahan, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
2022
1
14
http://msj.iau-arak.ac.ir/article_531009_54c803073b57fb96743243c63d1290cb.pdf
Viscosity approximation methods for W-mappings in Hilbert space
HR
Sahebi
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
author
S.
Ebrahimi
Department of Mathematics, Ashtian Branch, Islamic Azad University,
Ashtian, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
2022
15
35
http://msj.iau-arak.ac.ir/article_531010_e8cfe970c4c4a73fad7d5afb2d2d5c65.pdf
Extend a ranking method of trapezoidal
fuzzy numbers to all fuzzy numbers by
a
weighting functions
Abolfazl
Saiedifar
Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
author
text
article
1396
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
1396
37
56
http://msj.iau-arak.ac.ir/article_531011_c8854bc2cd9257cdcf4fea5acd21ea54.pdf
Measurement of prot inefficiency in
presence of interval data using the
directional distance function
Tayyebe
Ahangari
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
author
Mohsen
Rostami-Malkhalifeh
Department of Mathematics , Science and Research Branch, Islamic Azad
University,Tehran, Iran.
author
text
article
1396
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
1396
57
72
http://msj.iau-arak.ac.ir/article_531012_e4f3b6e938d7d1b97e41ee9bb1295cb1.pdf
A novel existence and uniqueness theorem
for solutions to FDEs driven by Lius
process with weak Lipschitz coefficients
S.
Siah-Mansouri
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
author
O.
Solaymani Fard
Department of Applied Mathematics, School of Mathematics and Computer
Science, Damghan University, Damghan.
author
M.
M. Gachpazan
Department of Applied Mathematics, Faculty of Mathematics Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
2022
73
87
http://msj.iau-arak.ac.ir/article_531013_1bf6fdf2efbc61f9cbe539931052feb8.pdf
The cosine method to Gardner equation
and (2+1)- dimensional breaking soliton
system
Parvin
Nabipour Kisomi
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid
Kashani institute of Higher Education, Abyek, Qazvin, Iran.
author
text
article
1396
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
1396
89
96
http://msj.iau-arak.ac.ir/article_531014_62275d7b4c777d80329528680285754f.pdf
Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels
Laleh
Hooshangian
Department of Mathematics, Dezful Branch, Islamic Azad University,
Dezful, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
2
no.
2022
97
109
http://msj.iau-arak.ac.ir/article_531016_dd7cc831d227125525751dcb3b3837fa.pdf